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Finding the Fourth Proportional to 164,918.92, 227,470.78 and 151,350.78

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Solution

The fourth proportional to 164,918.92, 227,470.78 and 151,350.78 is: 208,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,918.92 : 227,470.78 = 151,350.78 : x
  2. Step 2: Convert to fraction form
    164,918.92/227,470.78 = 151,350.78/x
  3. Step 3: Cross multiply
    164,918.92x = 227,470.78 × 151,350.78
  4. Step 4: Simplify right side
    164,918.92x = 34,427,879,980.21
  5. Step 5: Solve for x
    x = 34,427,879,980.21/164,918.92
  6. Step 6: Final answer
    x = 208,756.40

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1.5x scale

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.