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Finding the Fourth Proportional to 243,047.20, 364,570.80 and 109,931.80

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Solution

The fourth proportional to 243,047.20, 364,570.80 and 109,931.80 is: 164,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,047.20 : 364,570.80 = 109,931.80 : x
  2. Step 2: Convert to fraction form
    243,047.20/364,570.80 = 109,931.80/x
  3. Step 3: Cross multiply
    243,047.20x = 364,570.80 × 109,931.80
  4. Step 4: Simplify right side
    243,047.20x = 40,077,924,271.44
  5. Step 5: Solve for x
    x = 40,077,924,271.44/243,047.20
  6. Step 6: Final answer
    x = 164,897.70

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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.