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Finding the Fourth Proportional to 152,288.54, 228,479.56 and 68,119.50

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Solution

The fourth proportional to 152,288.54, 228,479.56 and 68,119.50 is: 102,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,288.54 : 228,479.56 = 68,119.50 : x
  2. Step 2: Convert to fraction form
    152,288.54/228,479.56 = 68,119.50/x
  3. Step 3: Cross multiply
    152,288.54x = 228,479.56 × 68,119.50
  4. Step 4: Simplify right side
    152,288.54x = 15,563,913,387.42
  5. Step 5: Solve for x
    x = 15,563,913,387.42/152,288.54
  6. Step 6: Final answer
    x = 102,200.16

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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.