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Finding the Fourth Proportional to 163,074.24, 224,895.12 and 105,655.20

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Solution

The fourth proportional to 163,074.24, 224,895.12 and 105,655.20 is: 145,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,074.24 : 224,895.12 = 105,655.20 : x
  2. Step 2: Convert to fraction form
    163,074.24/224,895.12 = 105,655.20/x
  3. Step 3: Cross multiply
    163,074.24x = 224,895.12 × 105,655.20
  4. Step 4: Simplify right side
    163,074.24x = 23,761,338,882.62
  5. Step 5: Solve for x
    x = 23,761,338,882.62/163,074.24
  6. Step 6: Final answer
    x = 145,708.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.