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Finding the Fourth Proportional to 278,480.10, 384,309.48 and 151,155.42

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Solution

The fourth proportional to 278,480.10, 384,309.48 and 151,155.42 is: 208,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,480.10 : 384,309.48 = 151,155.42 : x
  2. Step 2: Convert to fraction form
    278,480.10/384,309.48 = 151,155.42/x
  3. Step 3: Cross multiply
    278,480.10x = 384,309.48 × 151,155.42
  4. Step 4: Simplify right side
    278,480.10x = 58,090,460,859.38
  5. Step 5: Solve for x
    x = 58,090,460,859.38/278,480.10
  6. Step 6: Final answer
    x = 208,598.25

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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.