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Finding the Fourth Proportional to 189,689.72, 284,532.60 and 77,343.44

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Solution

The fourth proportional to 189,689.72, 284,532.60 and 77,343.44 is: 116,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,689.72 : 284,532.60 = 77,343.44 : x
  2. Step 2: Convert to fraction form
    189,689.72/284,532.60 = 77,343.44/x
  3. Step 3: Cross multiply
    189,689.72x = 284,532.60 × 77,343.44
  4. Step 4: Simplify right side
    189,689.72x = 22,006,730,076.14
  5. Step 5: Solve for x
    x = 22,006,730,076.14/189,689.72
  6. Step 6: Final answer
    x = 116,014.35

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1.5x scale

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.