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Finding the Fourth Proportional to 97,456.84, 134,492.65 and 57,199.64

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Solution

The fourth proportional to 97,456.84, 134,492.65 and 57,199.64 is: 78,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,456.84 : 134,492.65 = 57,199.64 : x
  2. Step 2: Convert to fraction form
    97,456.84/134,492.65 = 57,199.64/x
  3. Step 3: Cross multiply
    97,456.84x = 134,492.65 × 57,199.64
  4. Step 4: Simplify right side
    97,456.84x = 7,692,930,347.18
  5. Step 5: Solve for x
    x = 7,692,930,347.18/97,456.84
  6. Step 6: Final answer
    x = 78,936.79

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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.