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Finding the Fourth Proportional to 283,894.76, 425,825.34 and 106,386.92

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Solution

The fourth proportional to 283,894.76, 425,825.34 and 106,386.92 is: 159,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,894.76 : 425,825.34 = 106,386.92 : x
  2. Step 2: Convert to fraction form
    283,894.76/425,825.34 = 106,386.92/x
  3. Step 3: Cross multiply
    283,894.76x = 425,825.34 × 106,386.92
  4. Step 4: Simplify right side
    283,894.76x = 45,302,246,380.55
  5. Step 5: Solve for x
    x = 45,302,246,380.55/283,894.76
  6. Step 6: Final answer
    x = 159,574.08

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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.