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Finding the Fourth Proportional to 127,341.80, 190,964.10 and 38,565.80

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Solution

The fourth proportional to 127,341.80, 190,964.10 and 38,565.80 is: 57,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,341.80 : 190,964.10 = 38,565.80 : x
  2. Step 2: Convert to fraction form
    127,341.80/190,964.10 = 38,565.80/x
  3. Step 3: Cross multiply
    127,341.80x = 190,964.10 × 38,565.80
  4. Step 4: Simplify right side
    127,341.80x = 7,364,683,287.78
  5. Step 5: Solve for x
    x = 7,364,683,287.78/127,341.80
  6. Step 6: Final answer
    x = 57,833.98

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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.