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Finding the Fourth Proportional to 278,673.16, 384,569.64 and 151,346.02

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Solution

The fourth proportional to 278,673.16, 384,569.64 and 151,346.02 is: 208,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,673.16 : 384,569.64 = 151,346.02 : x
  2. Step 2: Convert to fraction form
    278,673.16/384,569.64 = 151,346.02/x
  3. Step 3: Cross multiply
    278,673.16x = 384,569.64 × 151,346.02
  4. Step 4: Simplify right side
    278,673.16x = 58,203,084,426.83
  5. Step 5: Solve for x
    x = 58,203,084,426.83/278,673.16
  6. Step 6: Final answer
    x = 208,857.88

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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.