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Finding the Fourth Proportional to 182,729.60, 252,197.98 and 106,293

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Solution

The fourth proportional to 182,729.60, 252,197.98 and 106,293 is: 146,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,729.60 : 252,197.98 = 106,293 : x
  2. Step 2: Convert to fraction form
    182,729.60/252,197.98 = 106,293/x
  3. Step 3: Cross multiply
    182,729.60x = 252,197.98 × 106,293
  4. Step 4: Simplify right side
    182,729.60x = 26,806,879,888.14
  5. Step 5: Solve for x
    x = 26,806,879,888.14/182,729.60
  6. Step 6: Final answer
    x = 146,702.45

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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.