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Finding the Fourth Proportional to 247,098.71, 370,507.60 and 97,257.77

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Solution

The fourth proportional to 247,098.71, 370,507.60 and 97,257.77 is: 145,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,098.71 : 370,507.60 = 97,257.77 : x
  2. Step 2: Convert to fraction form
    247,098.71/370,507.60 = 97,257.77/x
  3. Step 3: Cross multiply
    247,098.71x = 370,507.60 × 97,257.77
  4. Step 4: Simplify right side
    247,098.71x = 36,034,742,944.05
  5. Step 5: Solve for x
    x = 36,034,742,944.05/247,098.71
  6. Step 6: Final answer
    x = 145,831.37

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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.