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Finding the Fourth Proportional to 189,921.74, 284,777.45 and 77,680.78

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Solution

The fourth proportional to 189,921.74, 284,777.45 and 77,680.78 is: 116,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,921.74 : 284,777.45 = 77,680.78 : x
  2. Step 2: Convert to fraction form
    189,921.74/284,777.45 = 77,680.78/x
  3. Step 3: Cross multiply
    189,921.74x = 284,777.45 × 77,680.78
  4. Step 4: Simplify right side
    189,921.74x = 22,121,735,417.23
  5. Step 5: Solve for x
    x = 22,121,735,417.23/189,921.74
  6. Step 6: Final answer
    x = 116,478.16

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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.