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Finding the Fourth Proportional to 135,031.80, 202,547.10 and 75,032.04

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Solution

The fourth proportional to 135,031.80, 202,547.10 and 75,032.04 is: 112,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,031.80 : 202,547.10 = 75,032.04 : x
  2. Step 2: Convert to fraction form
    135,031.80/202,547.10 = 75,032.04/x
  3. Step 3: Cross multiply
    135,031.80x = 202,547.10 × 75,032.04
  4. Step 4: Simplify right side
    135,031.80x = 15,197,522,109.08
  5. Step 5: Solve for x
    x = 15,197,522,109.08/135,031.80
  6. Step 6: Final answer
    x = 112,547.73

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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.