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Finding the Fourth Proportional to 235,792.46, 353,744.02 and 78,020.90

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Solution

The fourth proportional to 235,792.46, 353,744.02 and 78,020.90 is: 117,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,792.46 : 353,744.02 = 78,020.90 : x
  2. Step 2: Convert to fraction form
    235,792.46/353,744.02 = 78,020.90/x
  3. Step 3: Cross multiply
    235,792.46x = 353,744.02 × 78,020.90
  4. Step 4: Simplify right side
    235,792.46x = 27,599,426,810.02
  5. Step 5: Solve for x
    x = 27,599,426,810.02/235,792.46
  6. Step 6: Final answer
    x = 117,049.66

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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.