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Finding the Fourth Proportional to 157,653.36, 217,560.47 and 86,031.81

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Solution

The fourth proportional to 157,653.36, 217,560.47 and 86,031.81 is: 118,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.36 : 217,560.47 = 86,031.81 : x
  2. Step 2: Convert to fraction form
    157,653.36/217,560.47 = 86,031.81/x
  3. Step 3: Cross multiply
    157,653.36x = 217,560.47 × 86,031.81
  4. Step 4: Simplify right side
    157,653.36x = 18,717,120,588.39
  5. Step 5: Solve for x
    x = 18,717,120,588.39/157,653.36
  6. Step 6: Final answer
    x = 118,723.26

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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.