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Finding the Fourth Proportional to 153,842.56, 212,302.62 and 86,774.56

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Solution

The fourth proportional to 153,842.56, 212,302.62 and 86,774.56 is: 119,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.56 : 212,302.62 = 86,774.56 : x
  2. Step 2: Convert to fraction form
    153,842.56/212,302.62 = 86,774.56/x
  3. Step 3: Cross multiply
    153,842.56x = 212,302.62 × 86,774.56
  4. Step 4: Simplify right side
    153,842.56x = 18,422,466,437.35
  5. Step 5: Solve for x
    x = 18,422,466,437.35/153,842.56
  6. Step 6: Final answer
    x = 119,748.83

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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.