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Finding the Fourth Proportional to 153,958.32, 212,454.36 and 86,886

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Solution

The fourth proportional to 153,958.32, 212,454.36 and 86,886 is: 119,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,958.32 : 212,454.36 = 86,886 : x
  2. Step 2: Convert to fraction form
    153,958.32/212,454.36 = 86,886/x
  3. Step 3: Cross multiply
    153,958.32x = 212,454.36 × 86,886
  4. Step 4: Simplify right side
    153,958.32x = 18,459,309,522.96
  5. Step 5: Solve for x
    x = 18,459,309,522.96/153,958.32
  6. Step 6: Final answer
    x = 119,898.10

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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.