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Finding the Fourth Proportional to 123,763.30, 185,644.95 and 40,657.30

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Solution

The fourth proportional to 123,763.30, 185,644.95 and 40,657.30 is: 60,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,763.30 : 185,644.95 = 40,657.30 : x
  2. Step 2: Convert to fraction form
    123,763.30/185,644.95 = 40,657.30/x
  3. Step 3: Cross multiply
    123,763.30x = 185,644.95 × 40,657.30
  4. Step 4: Simplify right side
    123,763.30x = 7,547,822,425.64
  5. Step 5: Solve for x
    x = 7,547,822,425.64/123,763.30
  6. Step 6: Final answer
    x = 60,985.95

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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.