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Finding the Fourth Proportional to 237,582.83, 356,337.09 and 77,657.55

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Solution

The fourth proportional to 237,582.83, 356,337.09 and 77,657.55 is: 116,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,582.83 : 356,337.09 = 77,657.55 : x
  2. Step 2: Convert to fraction form
    237,582.83/356,337.09 = 77,657.55/x
  3. Step 3: Cross multiply
    237,582.83x = 356,337.09 × 77,657.55
  4. Step 4: Simplify right side
    237,582.83x = 27,672,265,383.53
  5. Step 5: Solve for x
    x = 27,672,265,383.53/237,582.83
  6. Step 6: Final answer
    x = 116,474.18

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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.