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Finding the Fourth Proportional to 132,678.84, 183,135.42 and 106,007.16

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Solution

The fourth proportional to 132,678.84, 183,135.42 and 106,007.16 is: 146,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678.84 : 183,135.42 = 106,007.16 : x
  2. Step 2: Convert to fraction form
    132,678.84/183,135.42 = 106,007.16/x
  3. Step 3: Cross multiply
    132,678.84x = 183,135.42 × 106,007.16
  4. Step 4: Simplify right side
    132,678.84x = 19,413,665,769.61
  5. Step 5: Solve for x
    x = 19,413,665,769.61/132,678.84
  6. Step 6: Final answer
    x = 146,320.74

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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.