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Finding the Fourth Proportional to 129,365.19, 193,832.48 and 45,078.90

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Solution

The fourth proportional to 129,365.19, 193,832.48 and 45,078.90 is: 67,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,365.19 : 193,832.48 = 45,078.90 : x
  2. Step 2: Convert to fraction form
    129,365.19/193,832.48 = 45,078.90/x
  3. Step 3: Cross multiply
    129,365.19x = 193,832.48 × 45,078.90
  4. Step 4: Simplify right side
    129,365.19x = 8,737,754,368.50
  5. Step 5: Solve for x
    x = 8,737,754,368.50/129,365.19
  6. Step 6: Final answer
    x = 67,543.32

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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.