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Finding the Fourth Proportional to 181,516.80, 272,404.80 and 102,547.20

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Solution

The fourth proportional to 181,516.80, 272,404.80 and 102,547.20 is: 153,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,516.80 : 272,404.80 = 102,547.20 : x
  2. Step 2: Convert to fraction form
    181,516.80/272,404.80 = 102,547.20/x
  3. Step 3: Cross multiply
    181,516.80x = 272,404.80 × 102,547.20
  4. Step 4: Simplify right side
    181,516.80x = 27,934,349,506.56
  5. Step 5: Solve for x
    x = 27,934,349,506.56/181,516.80
  6. Step 6: Final answer
    x = 153,894.02

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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.