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Finding the Fourth Proportional to 119,326.48, 164,706.13 and 78,522.08

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Solution

The fourth proportional to 119,326.48, 164,706.13 and 78,522.08 is: 108,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,326.48 : 164,706.13 = 78,522.08 : x
  2. Step 2: Convert to fraction form
    119,326.48/164,706.13 = 78,522.08/x
  3. Step 3: Cross multiply
    119,326.48x = 164,706.13 × 78,522.08
  4. Step 4: Simplify right side
    119,326.48x = 12,933,066,749.29
  5. Step 5: Solve for x
    x = 12,933,066,749.29/119,326.48
  6. Step 6: Final answer
    x = 108,383.88

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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.