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Finding the Fourth Proportional to 123,756.16, 185,641.68 and 35,016.40

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Solution

The fourth proportional to 123,756.16, 185,641.68 and 35,016.40 is: 52,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,756.16 : 185,641.68 = 35,016.40 : x
  2. Step 2: Convert to fraction form
    123,756.16/185,641.68 = 35,016.40/x
  3. Step 3: Cross multiply
    123,756.16x = 185,641.68 × 35,016.40
  4. Step 4: Simplify right side
    123,756.16x = 6,500,503,323.55
  5. Step 5: Solve for x
    x = 6,500,503,323.55/123,756.16
  6. Step 6: Final answer
    x = 52,526.71

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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.