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Finding the Fourth Proportional to 151,104.34, 208,527.88 and 83,123.06

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Solution

The fourth proportional to 151,104.34, 208,527.88 and 83,123.06 is: 114,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,104.34 : 208,527.88 = 83,123.06 : x
  2. Step 2: Convert to fraction form
    151,104.34/208,527.88 = 83,123.06/x
  3. Step 3: Cross multiply
    151,104.34x = 208,527.88 × 83,123.06
  4. Step 4: Simplify right side
    151,104.34x = 17,333,475,480.91
  5. Step 5: Solve for x
    x = 17,333,475,480.91/151,104.34
  6. Step 6: Final answer
    x = 114,711.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.