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Finding the Fourth Proportional to 126,358.48, 189,442.95 and 76,428.36

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Solution

The fourth proportional to 126,358.48, 189,442.95 and 76,428.36 is: 114,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,358.48 : 189,442.95 = 76,428.36 : x
  2. Step 2: Convert to fraction form
    126,358.48/189,442.95 = 76,428.36/x
  3. Step 3: Cross multiply
    126,358.48x = 189,442.95 × 76,428.36
  4. Step 4: Simplify right side
    126,358.48x = 14,478,814,125.37
  5. Step 5: Solve for x
    x = 14,478,814,125.37/126,358.48
  6. Step 6: Final answer
    x = 114,585.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.