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Finding the Fourth Proportional to 125,906.40, 189,005.40 and 76,042.80

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Solution

The fourth proportional to 125,906.40, 189,005.40 and 76,042.80 is: 114,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906.40 : 189,005.40 = 76,042.80 : x
  2. Step 2: Convert to fraction form
    125,906.40/189,005.40 = 76,042.80/x
  3. Step 3: Cross multiply
    125,906.40x = 189,005.40 × 76,042.80
  4. Step 4: Simplify right side
    125,906.40x = 14,372,499,831.12
  5. Step 5: Solve for x
    x = 14,372,499,831.12/125,906.40
  6. Step 6: Final answer
    x = 114,152.26

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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.