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Finding the Fourth Proportional to 255,833.80, 383,716.14 and 68,856.52

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Solution

The fourth proportional to 255,833.80, 383,716.14 and 68,856.52 is: 103,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,833.80 : 383,716.14 = 68,856.52 : x
  2. Step 2: Convert to fraction form
    255,833.80/383,716.14 = 68,856.52/x
  3. Step 3: Cross multiply
    255,833.80x = 383,716.14 × 68,856.52
  4. Step 4: Simplify right side
    255,833.80x = 26,421,358,068.23
  5. Step 5: Solve for x
    x = 26,421,358,068.23/255,833.80
  6. Step 6: Final answer
    x = 103,275.48

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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.