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Finding the Fourth Proportional to 130,606.98, 180,248.13 and 74,022

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Solution

The fourth proportional to 130,606.98, 180,248.13 and 74,022 is: 102,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,606.98 : 180,248.13 = 74,022 : x
  2. Step 2: Convert to fraction form
    130,606.98/180,248.13 = 74,022/x
  3. Step 3: Cross multiply
    130,606.98x = 180,248.13 × 74,022
  4. Step 4: Simplify right side
    130,606.98x = 13,342,327,078.86
  5. Step 5: Solve for x
    x = 13,342,327,078.86/130,606.98
  6. Step 6: Final answer
    x = 102,156.31

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