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Finding the Fourth Proportional to 147,478.48, 203,537.58 and 83,825.84

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Solution

The fourth proportional to 147,478.48, 203,537.58 and 83,825.84 is: 115,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,478.48 : 203,537.58 = 83,825.84 : x
  2. Step 2: Convert to fraction form
    147,478.48/203,537.58 = 83,825.84/x
  3. Step 3: Cross multiply
    147,478.48x = 203,537.58 × 83,825.84
  4. Step 4: Simplify right side
    147,478.48x = 17,061,709,123.91
  5. Step 5: Solve for x
    x = 17,061,709,123.91/147,478.48
  6. Step 6: Final answer
    x = 115,689.49

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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.