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Finding the Fourth Proportional to 274,261.95, 411,123 and 160,265.08

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Solution

The fourth proportional to 274,261.95, 411,123 and 160,265.08 is: 240,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,261.95 : 411,123 = 160,265.08 : x
  2. Step 2: Convert to fraction form
    274,261.95/411,123 = 160,265.08/x
  3. Step 3: Cross multiply
    274,261.95x = 411,123 × 160,265.08
  4. Step 4: Simplify right side
    274,261.95x = 65,888,660,484.84
  5. Step 5: Solve for x
    x = 65,888,660,484.84/274,261.95
  6. Step 6: Final answer
    x = 240,239.89

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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.