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Finding the Fourth Proportional to 102,010.68, 140,778.96 and 56,688.48

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Solution

The fourth proportional to 102,010.68, 140,778.96 and 56,688.48 is: 78,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,010.68 : 140,778.96 = 56,688.48 : x
  2. Step 2: Convert to fraction form
    102,010.68/140,778.96 = 56,688.48/x
  3. Step 3: Cross multiply
    102,010.68x = 140,778.96 × 56,688.48
  4. Step 4: Simplify right side
    102,010.68x = 7,980,545,258.38
  5. Step 5: Solve for x
    x = 7,980,545,258.38/102,010.68
  6. Step 6: Final answer
    x = 78,232.45

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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.