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Finding the Fourth Proportional to 295,038, 407,154.60 and 160,902

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Solution

The fourth proportional to 295,038, 407,154.60 and 160,902 is: 222,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,038 : 407,154.60 = 160,902 : x
  2. Step 2: Convert to fraction form
    295,038/407,154.60 = 160,902/x
  3. Step 3: Cross multiply
    295,038x = 407,154.60 × 160,902
  4. Step 4: Simplify right side
    295,038x = 65,511,989,449.20
  5. Step 5: Solve for x
    x = 65,511,989,449.20/295,038
  6. Step 6: Final answer
    x = 222,045.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.