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Finding the Fourth Proportional to 152,807.70, 229,211.55 and 110,817.30

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Solution

The fourth proportional to 152,807.70, 229,211.55 and 110,817.30 is: 166,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,807.70 : 229,211.55 = 110,817.30 : x
  2. Step 2: Convert to fraction form
    152,807.70/229,211.55 = 110,817.30/x
  3. Step 3: Cross multiply
    152,807.70x = 229,211.55 × 110,817.30
  4. Step 4: Simplify right side
    152,807.70x = 25,400,605,099.82
  5. Step 5: Solve for x
    x = 25,400,605,099.82/152,807.70
  6. Step 6: Final answer
    x = 166,225.95

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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.