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Finding the Fourth Proportional to 148,830, 205,385.48 and 81,766.32

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Solution

The fourth proportional to 148,830, 205,385.48 and 81,766.32 is: 112,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830 : 205,385.48 = 81,766.32 : x
  2. Step 2: Convert to fraction form
    148,830/205,385.48 = 81,766.32/x
  3. Step 3: Cross multiply
    148,830x = 205,385.48 × 81,766.32
  4. Step 4: Simplify right side
    148,830x = 16,793,614,881.03
  5. Step 5: Solve for x
    x = 16,793,614,881.03/148,830
  6. Step 6: Final answer
    x = 112,837.57

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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.