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Finding the Fourth Proportional to 152,735.60, 229,103.40 and 133,052.60

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Solution

The fourth proportional to 152,735.60, 229,103.40 and 133,052.60 is: 199,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,735.60 : 229,103.40 = 133,052.60 : x
  2. Step 2: Convert to fraction form
    152,735.60/229,103.40 = 133,052.60/x
  3. Step 3: Cross multiply
    152,735.60x = 229,103.40 × 133,052.60
  4. Step 4: Simplify right side
    152,735.60x = 30,482,803,038.84
  5. Step 5: Solve for x
    x = 30,482,803,038.84/152,735.60
  6. Step 6: Final answer
    x = 199,578.90

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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.