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Finding the Fourth Proportional to 152,123.94, 209,926.62 and 84,143.61

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Solution

The fourth proportional to 152,123.94, 209,926.62 and 84,143.61 is: 116,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.94 : 209,926.62 = 84,143.61 : x
  2. Step 2: Convert to fraction form
    152,123.94/209,926.62 = 84,143.61/x
  3. Step 3: Cross multiply
    152,123.94x = 209,926.62 × 84,143.61
  4. Step 4: Simplify right side
    152,123.94x = 17,663,983,641.90
  5. Step 5: Solve for x
    x = 17,663,983,641.90/152,123.94
  6. Step 6: Final answer
    x = 116,115.74

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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.