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Finding the Fourth Proportional to 265,881.40, 399,055.38 and 147,686.20

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Solution

The fourth proportional to 265,881.40, 399,055.38 and 147,686.20 is: 221,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,881.40 : 399,055.38 = 147,686.20 : x
  2. Step 2: Convert to fraction form
    265,881.40/399,055.38 = 147,686.20/x
  3. Step 3: Cross multiply
    265,881.40x = 399,055.38 × 147,686.20
  4. Step 4: Simplify right side
    265,881.40x = 58,934,972,661.76
  5. Step 5: Solve for x
    x = 58,934,972,661.76/265,881.40
  6. Step 6: Final answer
    x = 221,658.88

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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.