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Finding the Fourth Proportional to 138,866, 208,334.52 and 40,370

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Solution

The fourth proportional to 138,866, 208,334.52 and 40,370 is: 60,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,866 : 208,334.52 = 40,370 : x
  2. Step 2: Convert to fraction form
    138,866/208,334.52 = 40,370/x
  3. Step 3: Cross multiply
    138,866x = 208,334.52 × 40,370
  4. Step 4: Simplify right side
    138,866x = 8,410,464,572.40
  5. Step 5: Solve for x
    x = 8,410,464,572.40/138,866
  6. Step 6: Final answer
    x = 60,565.33

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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.