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Finding the Fourth Proportional to 169,206.40, 253,809.60 and 150,835.60

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Solution

The fourth proportional to 169,206.40, 253,809.60 and 150,835.60 is: 226,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,206.40 : 253,809.60 = 150,835.60 : x
  2. Step 2: Convert to fraction form
    169,206.40/253,809.60 = 150,835.60/x
  3. Step 3: Cross multiply
    169,206.40x = 253,809.60 × 150,835.60
  4. Step 4: Simplify right side
    169,206.40x = 38,283,523,301.76
  5. Step 5: Solve for x
    x = 38,283,523,301.76/169,206.40
  6. Step 6: Final answer
    x = 226,253.40

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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.