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Finding the Fourth Proportional to 153,725.25, 212,140.85 and 86,657.25

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Solution

The fourth proportional to 153,725.25, 212,140.85 and 86,657.25 is: 119,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,725.25 : 212,140.85 = 86,657.25 : x
  2. Step 2: Convert to fraction form
    153,725.25/212,140.85 = 86,657.25/x
  3. Step 3: Cross multiply
    153,725.25x = 212,140.85 × 86,657.25
  4. Step 4: Simplify right side
    153,725.25x = 18,383,542,240.38
  5. Step 5: Solve for x
    x = 18,383,542,240.38/153,725.25
  6. Step 6: Final answer
    x = 119,587.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.