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Finding the Fourth Proportional to 114,586.80, 172,034.10 and 67,250.40

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Solution

The fourth proportional to 114,586.80, 172,034.10 and 67,250.40 is: 100,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.80 : 172,034.10 = 67,250.40 : x
  2. Step 2: Convert to fraction form
    114,586.80/172,034.10 = 67,250.40/x
  3. Step 3: Cross multiply
    114,586.80x = 172,034.10 × 67,250.40
  4. Step 4: Simplify right side
    114,586.80x = 11,569,362,038.64
  5. Step 5: Solve for x
    x = 11,569,362,038.64/114,586.80
  6. Step 6: Final answer
    x = 100,965.92

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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.