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Finding the Fourth Proportional to 153,302.60, 229,953.90 and 133,619.60

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Solution

The fourth proportional to 153,302.60, 229,953.90 and 133,619.60 is: 200,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,302.60 : 229,953.90 = 133,619.60 : x
  2. Step 2: Convert to fraction form
    153,302.60/229,953.90 = 133,619.60/x
  3. Step 3: Cross multiply
    153,302.60x = 229,953.90 × 133,619.60
  4. Step 4: Simplify right side
    153,302.60x = 30,726,348,136.44
  5. Step 5: Solve for x
    x = 30,726,348,136.44/153,302.60
  6. Step 6: Final answer
    x = 200,429.40

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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.