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Finding the Fourth Proportional to 229,757.34, 316,732.75 and 152,102.88

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Solution

The fourth proportional to 229,757.34, 316,732.75 and 152,102.88 is: 209,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,757.34 : 316,732.75 = 152,102.88 : x
  2. Step 2: Convert to fraction form
    229,757.34/316,732.75 = 152,102.88/x
  3. Step 3: Cross multiply
    229,757.34x = 316,732.75 × 152,102.88
  4. Step 4: Simplify right side
    229,757.34x = 48,175,963,085.06
  5. Step 5: Solve for x
    x = 48,175,963,085.06/229,757.34
  6. Step 6: Final answer
    x = 209,681.93

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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.