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Finding the Fourth Proportional to 229,502.12, 316,706.63 and 127,524.95

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Solution

The fourth proportional to 229,502.12, 316,706.63 and 127,524.95 is: 175,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502.12 : 316,706.63 = 127,524.95 : x
  2. Step 2: Convert to fraction form
    229,502.12/316,706.63 = 127,524.95/x
  3. Step 3: Cross multiply
    229,502.12x = 316,706.63 × 127,524.95
  4. Step 4: Simplify right side
    229,502.12x = 40,387,994,934.26
  5. Step 5: Solve for x
    x = 40,387,994,934.26/229,502.12
  6. Step 6: Final answer
    x = 175,980.93

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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.