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Finding the Fourth Proportional to 189,711.52, 284,601.84 and 65,024.80

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Solution

The fourth proportional to 189,711.52, 284,601.84 and 65,024.80 is: 97,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,711.52 : 284,601.84 = 65,024.80 : x
  2. Step 2: Convert to fraction form
    189,711.52/284,601.84 = 65,024.80/x
  3. Step 3: Cross multiply
    189,711.52x = 284,601.84 × 65,024.80
  4. Step 4: Simplify right side
    189,711.52x = 18,506,177,725.63
  5. Step 5: Solve for x
    x = 18,506,177,725.63/189,711.52
  6. Step 6: Final answer
    x = 97,549.05

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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.