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Finding the Fourth Proportional to 243,001.20, 364,501.80 and 149,559.60

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Solution

The fourth proportional to 243,001.20, 364,501.80 and 149,559.60 is: 224,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,001.20 : 364,501.80 = 149,559.60 : x
  2. Step 2: Convert to fraction form
    243,001.20/364,501.80 = 149,559.60/x
  3. Step 3: Cross multiply
    243,001.20x = 364,501.80 × 149,559.60
  4. Step 4: Simplify right side
    243,001.20x = 54,514,743,407.28
  5. Step 5: Solve for x
    x = 54,514,743,407.28/243,001.20
  6. Step 6: Final answer
    x = 224,339.40

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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.