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Finding the Fourth Proportional to 131,242.46, 196,894.98 and 42,496

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Solution

The fourth proportional to 131,242.46, 196,894.98 and 42,496 is: 63,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,242.46 : 196,894.98 = 42,496 : x
  2. Step 2: Convert to fraction form
    131,242.46/196,894.98 = 42,496/x
  3. Step 3: Cross multiply
    131,242.46x = 196,894.98 × 42,496
  4. Step 4: Simplify right side
    131,242.46x = 8,367,249,070.08
  5. Step 5: Solve for x
    x = 8,367,249,070.08/131,242.46
  6. Step 6: Final answer
    x = 63,754.13

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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.