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Finding the Fourth Proportional to 256,237.34, 383,470.28 and 160,140.56

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Solution

The fourth proportional to 256,237.34, 383,470.28 and 160,140.56 is: 239,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,237.34 : 383,470.28 = 160,140.56 : x
  2. Step 2: Convert to fraction form
    256,237.34/383,470.28 = 160,140.56/x
  3. Step 3: Cross multiply
    256,237.34x = 383,470.28 × 160,140.56
  4. Step 4: Simplify right side
    256,237.34x = 61,409,144,581.85
  5. Step 5: Solve for x
    x = 61,409,144,581.85/256,237.34
  6. Step 6: Final answer
    x = 239,657.28

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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.