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Finding the Fourth Proportional to 99,213, 148,819.50 and 25,341

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Solution

The fourth proportional to 99,213, 148,819.50 and 25,341 is: 38,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,213 : 148,819.50 = 25,341 : x
  2. Step 2: Convert to fraction form
    99,213/148,819.50 = 25,341/x
  3. Step 3: Cross multiply
    99,213x = 148,819.50 × 25,341
  4. Step 4: Simplify right side
    99,213x = 3,771,234,949.50
  5. Step 5: Solve for x
    x = 3,771,234,949.50/99,213
  6. Step 6: Final answer
    x = 38,011.50

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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.