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Finding the Fourth Proportional to 157,661.63, 217,577.66 and 86,046.24

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Solution

The fourth proportional to 157,661.63, 217,577.66 and 86,046.24 is: 118,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,661.63 : 217,577.66 = 86,046.24 : x
  2. Step 2: Convert to fraction form
    157,661.63/217,577.66 = 86,046.24/x
  3. Step 3: Cross multiply
    157,661.63x = 217,577.66 × 86,046.24
  4. Step 4: Simplify right side
    157,661.63x = 18,721,739,120.77
  5. Step 5: Solve for x
    x = 18,721,739,120.77/157,661.63
  6. Step 6: Final answer
    x = 118,746.33

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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.