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Finding the Fourth Proportional to 237,493.61, 356,269.77 and 77,585.64

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Solution

The fourth proportional to 237,493.61, 356,269.77 and 77,585.64 is: 116,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,493.61 : 356,269.77 = 77,585.64 : x
  2. Step 2: Convert to fraction form
    237,493.61/356,269.77 = 77,585.64/x
  3. Step 3: Cross multiply
    237,493.61x = 356,269.77 × 77,585.64
  4. Step 4: Simplify right side
    237,493.61x = 27,641,418,118.10
  5. Step 5: Solve for x
    x = 27,641,418,118.10/237,493.61
  6. Step 6: Final answer
    x = 116,388.05

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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.