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Finding the Fourth Proportional to 83,196, 114,770.34 and 54,503.19

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Solution

The fourth proportional to 83,196, 114,770.34 and 54,503.19 is: 75,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196 : 114,770.34 = 54,503.19 : x
  2. Step 2: Convert to fraction form
    83,196/114,770.34 = 54,503.19/x
  3. Step 3: Cross multiply
    83,196x = 114,770.34 × 54,503.19
  4. Step 4: Simplify right side
    83,196x = 6,255,349,647.38
  5. Step 5: Solve for x
    x = 6,255,349,647.38/83,196
  6. Step 6: Final answer
    x = 75,188.11

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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.