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Finding the Fourth Proportional to 122,382, 183,528.14 and 42,399.31

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Solution

The fourth proportional to 122,382, 183,528.14 and 42,399.31 is: 63,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,382 : 183,528.14 = 42,399.31 : x
  2. Step 2: Convert to fraction form
    122,382/183,528.14 = 42,399.31/x
  3. Step 3: Cross multiply
    122,382x = 183,528.14 × 42,399.31
  4. Step 4: Simplify right side
    122,382x = 7,781,466,501.58
  5. Step 5: Solve for x
    x = 7,781,466,501.58/122,382
  6. Step 6: Final answer
    x = 63,583.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.