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Finding the Fourth Proportional to 141,059.32, 194,674.18 and 77,409.56

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Solution

The fourth proportional to 141,059.32, 194,674.18 and 77,409.56 is: 106,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,059.32 : 194,674.18 = 77,409.56 : x
  2. Step 2: Convert to fraction form
    141,059.32/194,674.18 = 77,409.56/x
  3. Step 3: Cross multiply
    141,059.32x = 194,674.18 × 77,409.56
  4. Step 4: Simplify right side
    141,059.32x = 15,069,642,617.16
  5. Step 5: Solve for x
    x = 15,069,642,617.16/141,059.32
  6. Step 6: Final answer
    x = 106,831.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.