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Finding the Fourth Proportional to 117,710.20, 176,565.30 and 42,914.80

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Solution

The fourth proportional to 117,710.20, 176,565.30 and 42,914.80 is: 64,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710.20 : 176,565.30 = 42,914.80 : x
  2. Step 2: Convert to fraction form
    117,710.20/176,565.30 = 42,914.80/x
  3. Step 3: Cross multiply
    117,710.20x = 176,565.30 × 42,914.80
  4. Step 4: Simplify right side
    117,710.20x = 7,577,264,536.44
  5. Step 5: Solve for x
    x = 7,577,264,536.44/117,710.20
  6. Step 6: Final answer
    x = 64,372.20

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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.