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Finding the Fourth Proportional to 157,911.14, 217,908.12 and 86,291.72

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Solution

The fourth proportional to 157,911.14, 217,908.12 and 86,291.72 is: 119,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,911.14 : 217,908.12 = 86,291.72 : x
  2. Step 2: Convert to fraction form
    157,911.14/217,908.12 = 86,291.72/x
  3. Step 3: Cross multiply
    157,911.14x = 217,908.12 × 86,291.72
  4. Step 4: Simplify right side
    157,911.14x = 18,803,666,476.77
  5. Step 5: Solve for x
    x = 18,803,666,476.77/157,911.14
  6. Step 6: Final answer
    x = 119,077.52

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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.