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Finding the Fourth Proportional to 189,365.56, 284,158.50 and 77,028.28

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Solution

The fourth proportional to 189,365.56, 284,158.50 and 77,028.28 is: 115,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365.56 : 284,158.50 = 77,028.28 : x
  2. Step 2: Convert to fraction form
    189,365.56/284,158.50 = 77,028.28/x
  3. Step 3: Cross multiply
    189,365.56x = 284,158.50 × 77,028.28
  4. Step 4: Simplify right side
    189,365.56x = 21,888,240,502.38
  5. Step 5: Solve for x
    x = 21,888,240,502.38/189,365.56
  6. Step 6: Final answer
    x = 115,587.23

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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.