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Finding the Fourth Proportional to 191,522.64, 286,584.10 and 112,674

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Solution

The fourth proportional to 191,522.64, 286,584.10 and 112,674 is: 168,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,522.64 : 286,584.10 = 112,674 : x
  2. Step 2: Convert to fraction form
    191,522.64/286,584.10 = 112,674/x
  3. Step 3: Cross multiply
    191,522.64x = 286,584.10 × 112,674
  4. Step 4: Simplify right side
    191,522.64x = 32,290,576,883.40
  5. Step 5: Solve for x
    x = 32,290,576,883.40/191,522.64
  6. Step 6: Final answer
    x = 168,599.27

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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.