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Finding the Fourth Proportional to 98,203, 147,304.52 and 24,331

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Solution

The fourth proportional to 98,203, 147,304.52 and 24,331 is: 36,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,203 : 147,304.52 = 24,331 : x
  2. Step 2: Convert to fraction form
    98,203/147,304.52 = 24,331/x
  3. Step 3: Cross multiply
    98,203x = 147,304.52 × 24,331
  4. Step 4: Simplify right side
    98,203x = 3,584,066,276.12
  5. Step 5: Solve for x
    x = 3,584,066,276.12/98,203
  6. Step 6: Final answer
    x = 36,496.50

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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.