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Finding the Fourth Proportional to 255,215.70, 382,823.55 and 160,737.30

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Solution

The fourth proportional to 255,215.70, 382,823.55 and 160,737.30 is: 241,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,215.70 : 382,823.55 = 160,737.30 : x
  2. Step 2: Convert to fraction form
    255,215.70/382,823.55 = 160,737.30/x
  3. Step 3: Cross multiply
    255,215.70x = 382,823.55 × 160,737.30
  4. Step 4: Simplify right side
    255,215.70x = 61,534,023,803.42
  5. Step 5: Solve for x
    x = 61,534,023,803.42/255,215.70
  6. Step 6: Final answer
    x = 241,105.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.