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Finding the Fourth Proportional to 238,708.10, 358,223.16 and 98,463.62

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Solution

The fourth proportional to 238,708.10, 358,223.16 and 98,463.62 is: 147,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,708.10 : 358,223.16 = 98,463.62 : x
  2. Step 2: Convert to fraction form
    238,708.10/358,223.16 = 98,463.62/x
  3. Step 3: Cross multiply
    238,708.10x = 358,223.16 × 98,463.62
  4. Step 4: Simplify right side
    238,708.10x = 35,271,949,101.44
  5. Step 5: Solve for x
    x = 35,271,949,101.44/238,708.10
  6. Step 6: Final answer
    x = 147,761.84

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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.