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Finding the Fourth Proportional to 147,039.84, 202,925.52 and 83,383.20

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Solution

The fourth proportional to 147,039.84, 202,925.52 and 83,383.20 is: 115,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,039.84 : 202,925.52 = 83,383.20 : x
  2. Step 2: Convert to fraction form
    147,039.84/202,925.52 = 83,383.20/x
  3. Step 3: Cross multiply
    147,039.84x = 202,925.52 × 83,383.20
  4. Step 4: Simplify right side
    147,039.84x = 16,920,579,219.26
  5. Step 5: Solve for x
    x = 16,920,579,219.26/147,039.84
  6. Step 6: Final answer
    x = 115,074.79

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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.