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Finding the Fourth Proportional to 132,665.68, 183,077.52 and 75,316

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Solution

The fourth proportional to 132,665.68, 183,077.52 and 75,316 is: 103,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,665.68 : 183,077.52 = 75,316 : x
  2. Step 2: Convert to fraction form
    132,665.68/183,077.52 = 75,316/x
  3. Step 3: Cross multiply
    132,665.68x = 183,077.52 × 75,316
  4. Step 4: Simplify right side
    132,665.68x = 13,788,666,496.32
  5. Step 5: Solve for x
    x = 13,788,666,496.32/132,665.68
  6. Step 6: Final answer
    x = 103,935.45

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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.