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Finding the Fourth Proportional to 229,057.63, 316,088.86 and 127,082

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Solution

The fourth proportional to 229,057.63, 316,088.86 and 127,082 is: 175,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.63 : 316,088.86 = 127,082 : x
  2. Step 2: Convert to fraction form
    229,057.63/316,088.86 = 127,082/x
  3. Step 3: Cross multiply
    229,057.63x = 316,088.86 × 127,082
  4. Step 4: Simplify right side
    229,057.63x = 40,169,204,506.52
  5. Step 5: Solve for x
    x = 40,169,204,506.52/229,057.63
  6. Step 6: Final answer
    x = 175,367.24

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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.