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Finding the Fourth Proportional to 247,086.24, 370,374.81 and 97,265.80

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Solution

The fourth proportional to 247,086.24, 370,374.81 and 97,265.80 is: 145,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,086.24 : 370,374.81 = 97,265.80 : x
  2. Step 2: Convert to fraction form
    247,086.24/370,374.81 = 97,265.80/x
  3. Step 3: Cross multiply
    247,086.24x = 370,374.81 × 97,265.80
  4. Step 4: Simplify right side
    247,086.24x = 36,024,802,194.50
  5. Step 5: Solve for x
    x = 36,024,802,194.50/247,086.24
  6. Step 6: Final answer
    x = 145,798.50

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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.