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Finding the Fourth Proportional to 98,199, 147,298.50 and 24,327

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Solution

The fourth proportional to 98,199, 147,298.50 and 24,327 is: 36,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,199 : 147,298.50 = 24,327 : x
  2. Step 2: Convert to fraction form
    98,199/147,298.50 = 24,327/x
  3. Step 3: Cross multiply
    98,199x = 147,298.50 × 24,327
  4. Step 4: Simplify right side
    98,199x = 3,583,330,609.50
  5. Step 5: Solve for x
    x = 3,583,330,609.50/98,199
  6. Step 6: Final answer
    x = 36,490.50

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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.