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Finding the Fourth Proportional to 160,409.85, 221,381.33 and 88,792.89

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Solution

The fourth proportional to 160,409.85, 221,381.33 and 88,792.89 is: 122,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.85 : 221,381.33 = 88,792.89 : x
  2. Step 2: Convert to fraction form
    160,409.85/221,381.33 = 88,792.89/x
  3. Step 3: Cross multiply
    160,409.85x = 221,381.33 × 88,792.89
  4. Step 4: Simplify right side
    160,409.85x = 19,657,088,082.74
  5. Step 5: Solve for x
    x = 19,657,088,082.74/160,409.85
  6. Step 6: Final answer
    x = 122,542.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.