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Finding the Fourth Proportional to 238,549.70, 357,769.16 and 70,024.78

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Solution

The fourth proportional to 238,549.70, 357,769.16 and 70,024.78 is: 105,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,549.70 : 357,769.16 = 70,024.78 : x
  2. Step 2: Convert to fraction form
    238,549.70/357,769.16 = 70,024.78/x
  3. Step 3: Cross multiply
    238,549.70x = 357,769.16 × 70,024.78
  4. Step 4: Simplify right side
    238,549.70x = 25,052,706,719.78
  5. Step 5: Solve for x
    x = 25,052,706,719.78/238,549.70
  6. Step 6: Final answer
    x = 105,020.91

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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.