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Finding the Fourth Proportional to 85,411, 127,956.12 and 78,966.64

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Solution

The fourth proportional to 85,411, 127,956.12 and 78,966.64 is: 118,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411 : 127,956.12 = 78,966.64 : x
  2. Step 2: Convert to fraction form
    85,411/127,956.12 = 78,966.64/x
  3. Step 3: Cross multiply
    85,411x = 127,956.12 × 78,966.64
  4. Step 4: Simplify right side
    85,411x = 10,104,264,863.84
  5. Step 5: Solve for x
    x = 10,104,264,863.84/85,411
  6. Step 6: Final answer
    x = 118,301.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.