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Finding the Fourth Proportional to 229,478.46, 316,660.46 and 127,502.06

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Solution

The fourth proportional to 229,478.46, 316,660.46 and 127,502.06 is: 175,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478.46 : 316,660.46 = 127,502.06 : x
  2. Step 2: Convert to fraction form
    229,478.46/316,660.46 = 127,502.06/x
  3. Step 3: Cross multiply
    229,478.46x = 316,660.46 × 127,502.06
  4. Step 4: Simplify right side
    229,478.46x = 40,374,860,970.55
  5. Step 5: Solve for x
    x = 40,374,860,970.55/229,478.46
  6. Step 6: Final answer
    x = 175,941.83

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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.