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Finding the Fourth Proportional to 238,400.40, 357,644.16 and 98,082.48

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Solution

The fourth proportional to 238,400.40, 357,644.16 and 98,082.48 is: 147,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,400.40 : 357,644.16 = 98,082.48 : x
  2. Step 2: Convert to fraction form
    238,400.40/357,644.16 = 98,082.48/x
  3. Step 3: Cross multiply
    238,400.40x = 357,644.16 × 98,082.48
  4. Step 4: Simplify right side
    238,400.40x = 35,078,626,170.32
  5. Step 5: Solve for x
    x = 35,078,626,170.32/238,400.40
  6. Step 6: Final answer
    x = 147,141.64

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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.