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Finding the Fourth Proportional to 123,763.80, 185,645.70 and 40,657.80

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Solution

The fourth proportional to 123,763.80, 185,645.70 and 40,657.80 is: 60,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,763.80 : 185,645.70 = 40,657.80 : x
  2. Step 2: Convert to fraction form
    123,763.80/185,645.70 = 40,657.80/x
  3. Step 3: Cross multiply
    123,763.80x = 185,645.70 × 40,657.80
  4. Step 4: Simplify right side
    123,763.80x = 7,547,945,741.46
  5. Step 5: Solve for x
    x = 7,547,945,741.46/123,763.80
  6. Step 6: Final answer
    x = 60,986.70

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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.