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Finding the Fourth Proportional to 229,118.32, 316,182.60 and 127,159.14

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Solution

The fourth proportional to 229,118.32, 316,182.60 and 127,159.14 is: 175,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,118.32 : 316,182.60 = 127,159.14 : x
  2. Step 2: Convert to fraction form
    229,118.32/316,182.60 = 127,159.14/x
  3. Step 3: Cross multiply
    229,118.32x = 316,182.60 × 127,159.14
  4. Step 4: Simplify right side
    229,118.32x = 40,205,507,498.96
  5. Step 5: Solve for x
    x = 40,205,507,498.96/229,118.32
  6. Step 6: Final answer
    x = 175,479.23

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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.