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Finding the Fourth Proportional to 229,052.72, 316,095.36 and 127,080.08

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Solution

The fourth proportional to 229,052.72, 316,095.36 and 127,080.08 is: 175,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.72 : 316,095.36 = 127,080.08 : x
  2. Step 2: Convert to fraction form
    229,052.72/316,095.36 = 127,080.08/x
  3. Step 3: Cross multiply
    229,052.72x = 316,095.36 × 127,080.08
  4. Step 4: Simplify right side
    229,052.72x = 40,169,423,636.43
  5. Step 5: Solve for x
    x = 40,169,423,636.43/229,052.72
  6. Step 6: Final answer
    x = 175,371.96

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Why These Related Problems?

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