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Finding the Fourth Proportional to 96,275.36, 144,416 and 26,156.16

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Solution

The fourth proportional to 96,275.36, 144,416 and 26,156.16 is: 39,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,275.36 : 144,416 = 26,156.16 : x
  2. Step 2: Convert to fraction form
    96,275.36/144,416 = 26,156.16/x
  3. Step 3: Cross multiply
    96,275.36x = 144,416 × 26,156.16
  4. Step 4: Simplify right side
    96,275.36x = 3,777,368,002.56
  5. Step 5: Solve for x
    x = 3,777,368,002.56/96,275.36
  6. Step 6: Final answer
    x = 39,235.04

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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.