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Finding the Fourth Proportional to 229,416.32, 316,645.13 and 127,476.81

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Solution

The fourth proportional to 229,416.32, 316,645.13 and 127,476.81 is: 175,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,416.32 : 316,645.13 = 127,476.81 : x
  2. Step 2: Convert to fraction form
    229,416.32/316,645.13 = 127,476.81/x
  3. Step 3: Cross multiply
    229,416.32x = 316,645.13 × 127,476.81
  4. Step 4: Simplify right side
    229,416.32x = 40,364,910,437.05
  5. Step 5: Solve for x
    x = 40,364,910,437.05/229,416.32
  6. Step 6: Final answer
    x = 175,946.11

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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.