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Finding the Fourth Proportional to 355,884.34, 533,826.51 and 156,206.46

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Solution

The fourth proportional to 355,884.34, 533,826.51 and 156,206.46 is: 234,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,884.34 : 533,826.51 = 156,206.46 : x
  2. Step 2: Convert to fraction form
    355,884.34/533,826.51 = 156,206.46/x
  3. Step 3: Cross multiply
    355,884.34x = 533,826.51 × 156,206.46
  4. Step 4: Simplify right side
    355,884.34x = 83,387,146,712.12
  5. Step 5: Solve for x
    x = 83,387,146,712.12/355,884.34
  6. Step 6: Final answer
    x = 234,309.68

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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.