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Finding the Fourth Proportional to 152,907.70, 228,713.55 and 137,226.10

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Solution

The fourth proportional to 152,907.70, 228,713.55 and 137,226.10 is: 205,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907.70 : 228,713.55 = 137,226.10 : x
  2. Step 2: Convert to fraction form
    152,907.70/228,713.55 = 137,226.10/x
  3. Step 3: Cross multiply
    152,907.70x = 228,713.55 × 137,226.10
  4. Step 4: Simplify right side
    152,907.70x = 31,385,468,483.66
  5. Step 5: Solve for x
    x = 31,385,468,483.66/152,907.70
  6. Step 6: Final answer
    x = 205,257.61

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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.