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Finding the Fourth Proportional to 242,547.91, 363,875.10 and 71,756.26

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Solution

The fourth proportional to 242,547.91, 363,875.10 and 71,756.26 is: 107,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,547.91 : 363,875.10 = 71,756.26 : x
  2. Step 2: Convert to fraction form
    242,547.91/363,875.10 = 71,756.26/x
  3. Step 3: Cross multiply
    242,547.91x = 363,875.10 × 71,756.26
  4. Step 4: Simplify right side
    242,547.91x = 26,110,316,283.13
  5. Step 5: Solve for x
    x = 26,110,316,283.13/242,547.91
  6. Step 6: Final answer
    x = 107,650.14

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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.