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Finding the Fourth Proportional to 399,932.10, 599,898.02 and 160,154.01

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Solution

The fourth proportional to 399,932.10, 599,898.02 and 160,154.01 is: 240,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,932.10 : 599,898.02 = 160,154.01 : x
  2. Step 2: Convert to fraction form
    399,932.10/599,898.02 = 160,154.01/x
  3. Step 3: Cross multiply
    399,932.10x = 599,898.02 × 160,154.01
  4. Step 4: Simplify right side
    399,932.10x = 96,076,072,693.29
  5. Step 5: Solve for x
    x = 96,076,072,693.29/399,932.10
  6. Step 6: Final answer
    x = 240,230.96

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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.