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Finding the Fourth Proportional to 209,462.76, 314,243.35 and 59,705.20

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Solution

The fourth proportional to 209,462.76, 314,243.35 and 59,705.20 is: 89,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,462.76 : 314,243.35 = 59,705.20 : x
  2. Step 2: Convert to fraction form
    209,462.76/314,243.35 = 59,705.20/x
  3. Step 3: Cross multiply
    209,462.76x = 314,243.35 × 59,705.20
  4. Step 4: Simplify right side
    209,462.76x = 18,761,962,303.96
  5. Step 5: Solve for x
    x = 18,761,962,303.96/209,462.76
  6. Step 6: Final answer
    x = 89,571.83

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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.