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Finding the Fourth Proportional to 103,576.78, 142,914.51 and 60,547.96

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Solution

The fourth proportional to 103,576.78, 142,914.51 and 60,547.96 is: 83,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576.78 : 142,914.51 = 60,547.96 : x
  2. Step 2: Convert to fraction form
    103,576.78/142,914.51 = 60,547.96/x
  3. Step 3: Cross multiply
    103,576.78x = 142,914.51 × 60,547.96
  4. Step 4: Simplify right side
    103,576.78x = 8,653,182,034.90
  5. Step 5: Solve for x
    x = 8,653,182,034.90/103,576.78
  6. Step 6: Final answer
    x = 83,543.65

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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.