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Finding the Fourth Proportional to 265,301.61, 397,702.20 and 132,055.89

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Solution

The fourth proportional to 265,301.61, 397,702.20 and 132,055.89 is: 197,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,301.61 : 397,702.20 = 132,055.89 : x
  2. Step 2: Convert to fraction form
    265,301.61/397,702.20 = 132,055.89/x
  3. Step 3: Cross multiply
    265,301.61x = 397,702.20 × 132,055.89
  4. Step 4: Simplify right side
    265,301.61x = 52,518,917,975.96
  5. Step 5: Solve for x
    x = 52,518,917,975.96/265,301.61
  6. Step 6: Final answer
    x = 197,959.29

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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.