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Finding the Fourth Proportional to 157,838.25, 217,815.48 and 86,218.29

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Solution

The fourth proportional to 157,838.25, 217,815.48 and 86,218.29 is: 118,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838.25 : 217,815.48 = 86,218.29 : x
  2. Step 2: Convert to fraction form
    157,838.25/217,815.48 = 86,218.29/x
  3. Step 3: Cross multiply
    157,838.25x = 217,815.48 × 86,218.29
  4. Step 4: Simplify right side
    157,838.25x = 18,779,678,221.13
  5. Step 5: Solve for x
    x = 18,779,678,221.13/157,838.25
  6. Step 6: Final answer
    x = 118,980.53

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1.5x scale

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.