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Finding the Fourth Proportional to 265,808.64, 398,581.68 and 97,201.86

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Solution

The fourth proportional to 265,808.64, 398,581.68 and 97,201.86 is: 145,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,808.64 : 398,581.68 = 97,201.86 : x
  2. Step 2: Convert to fraction form
    265,808.64/398,581.68 = 97,201.86/x
  3. Step 3: Cross multiply
    265,808.64x = 398,581.68 × 97,201.86
  4. Step 4: Simplify right side
    265,808.64x = 38,742,880,657.92
  5. Step 5: Solve for x
    x = 38,742,880,657.92/265,808.64
  6. Step 6: Final answer
    x = 145,754.78

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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.