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Finding the Fourth Proportional to 197,702.68, 296,492.70 and 71,326.50

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Solution

The fourth proportional to 197,702.68, 296,492.70 and 71,326.50 is: 106,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,702.68 : 296,492.70 = 71,326.50 : x
  2. Step 2: Convert to fraction form
    197,702.68/296,492.70 = 71,326.50/x
  3. Step 3: Cross multiply
    197,702.68x = 296,492.70 × 71,326.50
  4. Step 4: Simplify right side
    197,702.68x = 21,147,784,894.16
  5. Step 5: Solve for x
    x = 21,147,784,894.16/197,702.68
  6. Step 6: Final answer
    x = 106,967.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.