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Finding the Fourth Proportional to 157,911.61, 217,908.84 and 86,292.22

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Solution

The fourth proportional to 157,911.61, 217,908.84 and 86,292.22 is: 119,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,911.61 : 217,908.84 = 86,292.22 : x
  2. Step 2: Convert to fraction form
    157,911.61/217,908.84 = 86,292.22/x
  3. Step 3: Cross multiply
    157,911.61x = 217,908.84 × 86,292.22
  4. Step 4: Simplify right side
    157,911.61x = 18,803,837,561.22
  5. Step 5: Solve for x
    x = 18,803,837,561.22/157,911.61
  6. Step 6: Final answer
    x = 119,078.25

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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.