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Finding the Fourth Proportional to 355,911.84, 533,712.21 and 106,535.52

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Solution

The fourth proportional to 355,911.84, 533,712.21 and 106,535.52 is: 159,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,911.84 : 533,712.21 = 106,535.52 : x
  2. Step 2: Convert to fraction form
    355,911.84/533,712.21 = 106,535.52/x
  3. Step 3: Cross multiply
    355,911.84x = 533,712.21 × 106,535.52
  4. Step 4: Simplify right side
    355,911.84x = 56,859,307,822.70
  5. Step 5: Solve for x
    x = 56,859,307,822.70/355,911.84
  6. Step 6: Final answer
    x = 159,756.72

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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.