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Finding the Fourth Proportional to 534,203.80, 801,302.64 and 134,842.93

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Solution

The fourth proportional to 534,203.80, 801,302.64 and 134,842.93 is: 202,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,203.80 : 801,302.64 = 134,842.93 : x
  2. Step 2: Convert to fraction form
    534,203.80/801,302.64 = 134,842.93/x
  3. Step 3: Cross multiply
    534,203.80x = 801,302.64 × 134,842.93
  4. Step 4: Simplify right side
    534,203.80x = 108,049,995,794.34
  5. Step 5: Solve for x
    x = 108,049,995,794.34/534,203.80
  6. Step 6: Final answer
    x = 202,263.62

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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.