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Finding the Fourth Proportional to 121,817.80, 182,726.70 and 102,572.20

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Solution

The fourth proportional to 121,817.80, 182,726.70 and 102,572.20 is: 153,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,817.80 : 182,726.70 = 102,572.20 : x
  2. Step 2: Convert to fraction form
    121,817.80/182,726.70 = 102,572.20/x
  3. Step 3: Cross multiply
    121,817.80x = 182,726.70 × 102,572.20
  4. Step 4: Simplify right side
    121,817.80x = 18,742,679,617.74
  5. Step 5: Solve for x
    x = 18,742,679,617.74/121,817.80
  6. Step 6: Final answer
    x = 153,858.30

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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.