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Finding the Fourth Proportional to 142,798.68, 214,177.10 and 37,617.48

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Solution

The fourth proportional to 142,798.68, 214,177.10 and 37,617.48 is: 56,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.68 : 214,177.10 = 37,617.48 : x
  2. Step 2: Convert to fraction form
    142,798.68/214,177.10 = 37,617.48/x
  3. Step 3: Cross multiply
    142,798.68x = 214,177.10 × 37,617.48
  4. Step 4: Simplify right side
    142,798.68x = 8,056,802,587.62
  5. Step 5: Solve for x
    x = 8,056,802,587.62/142,798.68
  6. Step 6: Final answer
    x = 56,420.71

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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.