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Finding the Fourth Proportional to 147,248, 203,189.44 and 83,588.48

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Solution

The fourth proportional to 147,248, 203,189.44 and 83,588.48 is: 115,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,248 : 203,189.44 = 83,588.48 : x
  2. Step 2: Convert to fraction form
    147,248/203,189.44 = 83,588.48/x
  3. Step 3: Cross multiply
    147,248x = 203,189.44 × 83,588.48
  4. Step 4: Simplify right side
    147,248x = 16,984,296,441.65
  5. Step 5: Solve for x
    x = 16,984,296,441.65/147,248
  6. Step 6: Final answer
    x = 115,344.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.