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Finding the Fourth Proportional to 157,783.68, 236,744.88 and 82,886.42

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Solution

The fourth proportional to 157,783.68, 236,744.88 and 82,886.42 is: 124,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,783.68 : 236,744.88 = 82,886.42 : x
  2. Step 2: Convert to fraction form
    157,783.68/236,744.88 = 82,886.42/x
  3. Step 3: Cross multiply
    157,783.68x = 236,744.88 × 82,886.42
  4. Step 4: Simplify right side
    157,783.68x = 19,622,935,837.57
  5. Step 5: Solve for x
    x = 19,622,935,837.57/157,783.68
  6. Step 6: Final answer
    x = 124,366.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.