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Finding the Fourth Proportional to 243,164.19, 364,703.76 and 110,013.15

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Solution

The fourth proportional to 243,164.19, 364,703.76 and 110,013.15 is: 165,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,164.19 : 364,703.76 = 110,013.15 : x
  2. Step 2: Convert to fraction form
    243,164.19/364,703.76 = 110,013.15/x
  3. Step 3: Cross multiply
    243,164.19x = 364,703.76 × 110,013.15
  4. Step 4: Simplify right side
    243,164.19x = 40,122,209,454.44
  5. Step 5: Solve for x
    x = 40,122,209,454.44/243,164.19
  6. Step 6: Final answer
    x = 165,000.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.