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Finding the Fourth Proportional to 83,199, 114,815.70 and 45,474.06

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Solution

The fourth proportional to 83,199, 114,815.70 and 45,474.06 is: 62,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199 : 114,815.70 = 45,474.06 : x
  2. Step 2: Convert to fraction form
    83,199/114,815.70 = 45,474.06/x
  3. Step 3: Cross multiply
    83,199x = 114,815.70 × 45,474.06
  4. Step 4: Simplify right side
    83,199x = 5,221,136,030.74
  5. Step 5: Solve for x
    x = 5,221,136,030.74/83,199
  6. Step 6: Final answer
    x = 62,754.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.