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Finding the Fourth Proportional to 265,240.64, 397,931.68 and 96,776.48

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Solution

The fourth proportional to 265,240.64, 397,931.68 and 96,776.48 is: 145,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,240.64 : 397,931.68 = 96,776.48 : x
  2. Step 2: Convert to fraction form
    265,240.64/397,931.68 = 96,776.48/x
  3. Step 3: Cross multiply
    265,240.64x = 397,931.68 × 96,776.48
  4. Step 4: Simplify right side
    265,240.64x = 38,510,427,270.89
  5. Step 5: Solve for x
    x = 38,510,427,270.89/265,240.64
  6. Step 6: Final answer
    x = 145,190.52

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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.