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Finding the Fourth Proportional to 141,436, 195,181.72 and 77,778.16

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Solution

The fourth proportional to 141,436, 195,181.72 and 77,778.16 is: 107,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,436 : 195,181.72 = 77,778.16 : x
  2. Step 2: Convert to fraction form
    141,436/195,181.72 = 77,778.16/x
  3. Step 3: Cross multiply
    141,436x = 195,181.72 × 77,778.16
  4. Step 4: Simplify right side
    141,436x = 15,180,875,047.24
  5. Step 5: Solve for x
    x = 15,180,875,047.24/141,436
  6. Step 6: Final answer
    x = 107,333.88

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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.