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Finding the Fourth Proportional to 209,263.68, 313,848.18 and 59,500.71

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Solution

The fourth proportional to 209,263.68, 313,848.18 and 59,500.71 is: 89,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,263.68 : 313,848.18 = 59,500.71 : x
  2. Step 2: Convert to fraction form
    209,263.68/313,848.18 = 59,500.71/x
  3. Step 3: Cross multiply
    209,263.68x = 313,848.18 × 59,500.71
  4. Step 4: Simplify right side
    209,263.68x = 18,674,189,542.21
  5. Step 5: Solve for x
    x = 18,674,189,542.21/209,263.68
  6. Step 6: Final answer
    x = 89,237.60

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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.