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Finding the Fourth Proportional to 228,412.74, 342,618.03 and 152,350.50

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Solution

The fourth proportional to 228,412.74, 342,618.03 and 152,350.50 is: 228,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,412.74 : 342,618.03 = 152,350.50 : x
  2. Step 2: Convert to fraction form
    228,412.74/342,618.03 = 152,350.50/x
  3. Step 3: Cross multiply
    228,412.74x = 342,618.03 × 152,350.50
  4. Step 4: Simplify right side
    228,412.74x = 52,198,028,179.52
  5. Step 5: Solve for x
    x = 52,198,028,179.52/228,412.74
  6. Step 6: Final answer
    x = 228,525.03

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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.