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Finding the Fourth Proportional to 148,570, 205,029.84 and 81,502

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Solution

The fourth proportional to 148,570, 205,029.84 and 81,502 is: 112,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,570 : 205,029.84 = 81,502 : x
  2. Step 2: Convert to fraction form
    148,570/205,029.84 = 81,502/x
  3. Step 3: Cross multiply
    148,570x = 205,029.84 × 81,502
  4. Step 4: Simplify right side
    148,570x = 16,710,342,019.68
  5. Step 5: Solve for x
    x = 16,710,342,019.68/148,570
  6. Step 6: Final answer
    x = 112,474.54

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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.