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Finding the Fourth Proportional to 153,805.32, 212,243.22 and 86,733

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Solution

The fourth proportional to 153,805.32, 212,243.22 and 86,733 is: 119,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,805.32 : 212,243.22 = 86,733 : x
  2. Step 2: Convert to fraction form
    153,805.32/212,243.22 = 86,733/x
  3. Step 3: Cross multiply
    153,805.32x = 212,243.22 × 86,733
  4. Step 4: Simplify right side
    153,805.32x = 18,408,491,200.26
  5. Step 5: Solve for x
    x = 18,408,491,200.26/153,805.32
  6. Step 6: Final answer
    x = 119,686.96

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1.5x scale

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.