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Finding the Fourth Proportional to 129,154.02, 193,730.76 and 35,659.50

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Solution

The fourth proportional to 129,154.02, 193,730.76 and 35,659.50 is: 53,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,154.02 : 193,730.76 = 35,659.50 : x
  2. Step 2: Convert to fraction form
    129,154.02/193,730.76 = 35,659.50/x
  3. Step 3: Cross multiply
    129,154.02x = 193,730.76 × 35,659.50
  4. Step 4: Simplify right side
    129,154.02x = 6,908,342,036.22
  5. Step 5: Solve for x
    x = 6,908,342,036.22/129,154.02
  6. Step 6: Final answer
    x = 53,489.18

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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.