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Finding the Fourth Proportional to 186,422.40, 257,264.16 and 101,538.72

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Solution

The fourth proportional to 186,422.40, 257,264.16 and 101,538.72 is: 140,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,422.40 : 257,264.16 = 101,538.72 : x
  2. Step 2: Convert to fraction form
    186,422.40/257,264.16 = 101,538.72/x
  3. Step 3: Cross multiply
    186,422.40x = 257,264.16 × 101,538.72
  4. Step 4: Simplify right side
    186,422.40x = 26,122,273,508.28
  5. Step 5: Solve for x
    x = 26,122,273,508.28/186,422.40
  6. Step 6: Final answer
    x = 140,124.11

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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.