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Finding the Fourth Proportional to 135,307.76, 202,946.04 and 35,475.88

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Solution

The fourth proportional to 135,307.76, 202,946.04 and 35,475.88 is: 53,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,307.76 : 202,946.04 = 35,475.88 : x
  2. Step 2: Convert to fraction form
    135,307.76/202,946.04 = 35,475.88/x
  3. Step 3: Cross multiply
    135,307.76x = 202,946.04 × 35,475.88
  4. Step 4: Simplify right side
    135,307.76x = 7,199,689,184.14
  5. Step 5: Solve for x
    x = 7,199,689,184.14/135,307.76
  6. Step 6: Final answer
    x = 53,209.73

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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.