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Finding the Fourth Proportional to 152,287.54, 228,478.06 and 68,118.50

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Solution

The fourth proportional to 152,287.54, 228,478.06 and 68,118.50 is: 102,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,287.54 : 228,478.06 = 68,118.50 : x
  2. Step 2: Convert to fraction form
    152,287.54/228,478.06 = 68,118.50/x
  3. Step 3: Cross multiply
    152,287.54x = 228,478.06 × 68,118.50
  4. Step 4: Simplify right side
    152,287.54x = 15,563,582,730.11
  5. Step 5: Solve for x
    x = 15,563,582,730.11/152,287.54
  6. Step 6: Final answer
    x = 102,198.66

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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.