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Finding the Fourth Proportional to 152,405.73, 228,098.57 and 150,389.46

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Solution

The fourth proportional to 152,405.73, 228,098.57 and 150,389.46 is: 225,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.73 : 228,098.57 = 150,389.46 : x
  2. Step 2: Convert to fraction form
    152,405.73/228,098.57 = 150,389.46/x
  3. Step 3: Cross multiply
    152,405.73x = 228,098.57 × 150,389.46
  4. Step 4: Simplify right side
    152,405.73x = 34,303,620,017.12
  5. Step 5: Solve for x
    x = 34,303,620,017.12/152,405.73
  6. Step 6: Final answer
    x = 225,080.91

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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.