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Finding the Fourth Proportional to 153,120.68, 229,714.14 and 46,495.88

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Solution

The fourth proportional to 153,120.68, 229,714.14 and 46,495.88 is: 69,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,120.68 : 229,714.14 = 46,495.88 : x
  2. Step 2: Convert to fraction form
    153,120.68/229,714.14 = 46,495.88/x
  3. Step 3: Cross multiply
    153,120.68x = 229,714.14 × 46,495.88
  4. Step 4: Simplify right side
    153,120.68x = 10,680,761,087.74
  5. Step 5: Solve for x
    x = 10,680,761,087.74/153,120.68
  6. Step 6: Final answer
    x = 69,753.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.