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Finding the Fourth Proportional to 100,492.92, 138,651.84 and 64,703.64

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Solution

The fourth proportional to 100,492.92, 138,651.84 and 64,703.64 is: 89,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.92 : 138,651.84 = 64,703.64 : x
  2. Step 2: Convert to fraction form
    100,492.92/138,651.84 = 64,703.64/x
  3. Step 3: Cross multiply
    100,492.92x = 138,651.84 × 64,703.64
  4. Step 4: Simplify right side
    100,492.92x = 8,971,278,740.70
  5. Step 5: Solve for x
    x = 8,971,278,740.70/100,492.92
  6. Step 6: Final answer
    x = 89,272.74

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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.