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Finding the Fourth Proportional to 96,145.92, 144,149.76 and 43,528.32

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Solution

The fourth proportional to 96,145.92, 144,149.76 and 43,528.32 is: 65,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,145.92 : 144,149.76 = 43,528.32 : x
  2. Step 2: Convert to fraction form
    96,145.92/144,149.76 = 43,528.32/x
  3. Step 3: Cross multiply
    96,145.92x = 144,149.76 × 43,528.32
  4. Step 4: Simplify right side
    96,145.92x = 6,274,596,881.20
  5. Step 5: Solve for x
    x = 6,274,596,881.20/96,145.92
  6. Step 6: Final answer
    x = 65,261.19

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Why These Related Problems?

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