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Finding the Fourth Proportional to 229,123.84, 316,192.86 and 127,156.18

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Solution

The fourth proportional to 229,123.84, 316,192.86 and 127,156.18 is: 175,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,123.84 : 316,192.86 = 127,156.18 : x
  2. Step 2: Convert to fraction form
    229,123.84/316,192.86 = 127,156.18/x
  3. Step 3: Cross multiply
    229,123.84x = 316,192.86 × 127,156.18
  4. Step 4: Simplify right side
    229,123.84x = 40,205,876,220.87
  5. Step 5: Solve for x
    x = 40,205,876,220.87/229,123.84
  6. Step 6: Final answer
    x = 175,476.62

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1.5x scale

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.