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Finding the Fourth Proportional to 243,712.22, 365,545.26 and 75,187.28

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Solution

The fourth proportional to 243,712.22, 365,545.26 and 75,187.28 is: 112,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,712.22 : 365,545.26 = 75,187.28 : x
  2. Step 2: Convert to fraction form
    243,712.22/365,545.26 = 75,187.28/x
  3. Step 3: Cross multiply
    243,712.22x = 365,545.26 × 75,187.28
  4. Step 4: Simplify right side
    243,712.22x = 27,484,353,816.29
  5. Step 5: Solve for x
    x = 27,484,353,816.29/243,712.22
  6. Step 6: Final answer
    x = 112,773.80

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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.