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Finding the Fourth Proportional to 114,250.32, 171,282.51 and 76,695.87

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Solution

The fourth proportional to 114,250.32, 171,282.51 and 76,695.87 is: 114,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,250.32 : 171,282.51 = 76,695.87 : x
  2. Step 2: Convert to fraction form
    114,250.32/171,282.51 = 76,695.87/x
  3. Step 3: Cross multiply
    114,250.32x = 171,282.51 × 76,695.87
  4. Step 4: Simplify right side
    114,250.32x = 13,136,661,120.23
  5. Step 5: Solve for x
    x = 13,136,661,120.23/114,250.32
  6. Step 6: Final answer
    x = 114,981.39

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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.