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Finding the Fourth Proportional to 132,970.68, 183,496.32 and 76,380.84

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Solution

The fourth proportional to 132,970.68, 183,496.32 and 76,380.84 is: 105,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.68 : 183,496.32 = 76,380.84 : x
  2. Step 2: Convert to fraction form
    132,970.68/183,496.32 = 76,380.84/x
  3. Step 3: Cross multiply
    132,970.68x = 183,496.32 × 76,380.84
  4. Step 4: Simplify right side
    132,970.68x = 14,015,603,058.51
  5. Step 5: Solve for x
    x = 14,015,603,058.51/132,970.68
  6. Step 6: Final answer
    x = 105,403.71

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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.