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Finding the Fourth Proportional to 354,811.70, 532,217.55 and 105,461.30

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Solution

The fourth proportional to 354,811.70, 532,217.55 and 105,461.30 is: 158,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,811.70 : 532,217.55 = 105,461.30 : x
  2. Step 2: Convert to fraction form
    354,811.70/532,217.55 = 105,461.30/x
  3. Step 3: Cross multiply
    354,811.70x = 532,217.55 × 105,461.30
  4. Step 4: Simplify right side
    354,811.70x = 56,128,354,705.82
  5. Step 5: Solve for x
    x = 56,128,354,705.82/354,811.70
  6. Step 6: Final answer
    x = 158,191.95

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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.