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Finding the Fourth Proportional to 235,501.60, 353,143.05 and 102,313.30

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Solution

The fourth proportional to 235,501.60, 353,143.05 and 102,313.30 is: 153,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,501.60 : 353,143.05 = 102,313.30 : x
  2. Step 2: Convert to fraction form
    235,501.60/353,143.05 = 102,313.30/x
  3. Step 3: Cross multiply
    235,501.60x = 353,143.05 × 102,313.30
  4. Step 4: Simplify right side
    235,501.60x = 36,131,230,817.57
  5. Step 5: Solve for x
    x = 36,131,230,817.57/235,501.60
  6. Step 6: Final answer
    x = 153,422.44

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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.