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Finding the Fourth Proportional to 265,251.60, 397,881.54 and 147,670.26

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Solution

The fourth proportional to 265,251.60, 397,881.54 and 147,670.26 is: 221,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,251.60 : 397,881.54 = 147,670.26 : x
  2. Step 2: Convert to fraction form
    265,251.60/397,881.54 = 147,670.26/x
  3. Step 3: Cross multiply
    265,251.60x = 397,881.54 × 147,670.26
  4. Step 4: Simplify right side
    265,251.60x = 58,755,270,461.00
  5. Step 5: Solve for x
    x = 58,755,270,461.00/265,251.60
  6. Step 6: Final answer
    x = 221,507.69

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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.