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Finding the Fourth Proportional to 147,378.64, 203,376 and 83,715.52

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Solution

The fourth proportional to 147,378.64, 203,376 and 83,715.52 is: 115,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,378.64 : 203,376 = 83,715.52 : x
  2. Step 2: Convert to fraction form
    147,378.64/203,376 = 83,715.52/x
  3. Step 3: Cross multiply
    147,378.64x = 203,376 × 83,715.52
  4. Step 4: Simplify right side
    147,378.64x = 17,025,727,595.52
  5. Step 5: Solve for x
    x = 17,025,727,595.52/147,378.64
  6. Step 6: Final answer
    x = 115,523.71

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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.