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Finding the Fourth Proportional to 605,083.10, 907,624.65 and 161,851.10

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Solution

The fourth proportional to 605,083.10, 907,624.65 and 161,851.10 is: 242,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,083.10 : 907,624.65 = 161,851.10 : x
  2. Step 2: Convert to fraction form
    605,083.10/907,624.65 = 161,851.10/x
  3. Step 3: Cross multiply
    605,083.10x = 907,624.65 × 161,851.10
  4. Step 4: Simplify right side
    605,083.10x = 146,900,047,989.62
  5. Step 5: Solve for x
    x = 146,900,047,989.62/605,083.10
  6. Step 6: Final answer
    x = 242,776.65

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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.