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Finding the Fourth Proportional to 112,492.96, 169,001.88 and 65,778.64

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Solution

The fourth proportional to 112,492.96, 169,001.88 and 65,778.64 is: 98,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,492.96 : 169,001.88 = 65,778.64 : x
  2. Step 2: Convert to fraction form
    112,492.96/169,001.88 = 65,778.64/x
  3. Step 3: Cross multiply
    112,492.96x = 169,001.88 × 65,778.64
  4. Step 4: Simplify right side
    112,492.96x = 11,116,713,823.84
  5. Step 5: Solve for x
    x = 11,116,713,823.84/112,492.96
  6. Step 6: Final answer
    x = 98,821.42

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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.