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Finding the Fourth Proportional to 114,396.84, 157,867.38 and 63,412.20

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Solution

The fourth proportional to 114,396.84, 157,867.38 and 63,412.20 is: 87,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396.84 : 157,867.38 = 63,412.20 : x
  2. Step 2: Convert to fraction form
    114,396.84/157,867.38 = 63,412.20/x
  3. Step 3: Cross multiply
    114,396.84x = 157,867.38 × 63,412.20
  4. Step 4: Simplify right side
    114,396.84x = 10,010,717,874.04
  5. Step 5: Solve for x
    x = 10,010,717,874.04/114,396.84
  6. Step 6: Final answer
    x = 87,508.69

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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.