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Finding the Fourth Proportional to 157,290.84, 235,934.82 and 63,774.36

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Solution

The fourth proportional to 157,290.84, 235,934.82 and 63,774.36 is: 95,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290.84 : 235,934.82 = 63,774.36 : x
  2. Step 2: Convert to fraction form
    157,290.84/235,934.82 = 63,774.36/x
  3. Step 3: Cross multiply
    157,290.84x = 235,934.82 × 63,774.36
  4. Step 4: Simplify right side
    157,290.84x = 15,046,592,147.22
  5. Step 5: Solve for x
    x = 15,046,592,147.22/157,290.84
  6. Step 6: Final answer
    x = 95,660.96

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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.