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Finding the Fourth Proportional to 202,134.60, 303,396.30 and 102,407.40

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Solution

The fourth proportional to 202,134.60, 303,396.30 and 102,407.40 is: 153,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,134.60 : 303,396.30 = 102,407.40 : x
  2. Step 2: Convert to fraction form
    202,134.60/303,396.30 = 102,407.40/x
  3. Step 3: Cross multiply
    202,134.60x = 303,396.30 × 102,407.40
  4. Step 4: Simplify right side
    202,134.60x = 31,070,026,252.62
  5. Step 5: Solve for x
    x = 31,070,026,252.62/202,134.60
  6. Step 6: Final answer
    x = 153,709.59

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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.