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Finding the Fourth Proportional to 130,714.85, 180,386.47 and 74,126.22

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Solution

The fourth proportional to 130,714.85, 180,386.47 and 74,126.22 is: 102,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714.85 : 180,386.47 = 74,126.22 : x
  2. Step 2: Convert to fraction form
    130,714.85/180,386.47 = 74,126.22/x
  3. Step 3: Cross multiply
    130,714.85x = 180,386.47 × 74,126.22
  4. Step 4: Simplify right side
    130,714.85x = 13,371,367,160.24
  5. Step 5: Solve for x
    x = 13,371,367,160.24/130,714.85
  6. Step 6: Final answer
    x = 102,294.17

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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.