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Finding the Fourth Proportional to 138,802.59, 191,547.99 and 75,140.24

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Solution

The fourth proportional to 138,802.59, 191,547.99 and 75,140.24 is: 103,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.59 : 191,547.99 = 75,140.24 : x
  2. Step 2: Convert to fraction form
    138,802.59/191,547.99 = 75,140.24/x
  3. Step 3: Cross multiply
    138,802.59x = 191,547.99 × 75,140.24
  4. Step 4: Simplify right side
    138,802.59x = 14,392,960,982.38
  5. Step 5: Solve for x
    x = 14,392,960,982.38/138,802.59
  6. Step 6: Final answer
    x = 103,693.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.