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Finding the Fourth Proportional to 142,902.58, 197,191.35 and 82,492.68

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Solution

The fourth proportional to 142,902.58, 197,191.35 and 82,492.68 is: 113,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902.58 : 197,191.35 = 82,492.68 : x
  2. Step 2: Convert to fraction form
    142,902.58/197,191.35 = 82,492.68/x
  3. Step 3: Cross multiply
    142,902.58x = 197,191.35 × 82,492.68
  4. Step 4: Simplify right side
    142,902.58x = 16,266,843,638.33
  5. Step 5: Solve for x
    x = 16,266,843,638.33/142,902.58
  6. Step 6: Final answer
    x = 113,831.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.