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Finding the Fourth Proportional to 202,438, 303,842.16 and 102,667.04

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Solution

The fourth proportional to 202,438, 303,842.16 and 102,667.04 is: 154,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438 : 303,842.16 = 102,667.04 : x
  2. Step 2: Convert to fraction form
    202,438/303,842.16 = 102,667.04/x
  3. Step 3: Cross multiply
    202,438x = 303,842.16 × 102,667.04
  4. Step 4: Simplify right side
    202,438x = 31,194,575,194.41
  5. Step 5: Solve for x
    x = 31,194,575,194.41/202,438
  6. Step 6: Final answer
    x = 154,094.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.