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Finding the Fourth Proportional to 120,772.65, 181,159.36 and 41,886.88

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Solution

The fourth proportional to 120,772.65, 181,159.36 and 41,886.88 is: 62,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772.65 : 181,159.36 = 41,886.88 : x
  2. Step 2: Convert to fraction form
    120,772.65/181,159.36 = 41,886.88/x
  3. Step 3: Cross multiply
    120,772.65x = 181,159.36 × 41,886.88
  4. Step 4: Simplify right side
    120,772.65x = 7,588,200,373.20
  5. Step 5: Solve for x
    x = 7,588,200,373.20/120,772.65
  6. Step 6: Final answer
    x = 62,830.45

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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.