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Finding the Fourth Proportional to 119,054.29, 164,289.51 and 65,338.24

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Solution

The fourth proportional to 119,054.29, 164,289.51 and 65,338.24 is: 90,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,054.29 : 164,289.51 = 65,338.24 : x
  2. Step 2: Convert to fraction form
    119,054.29/164,289.51 = 65,338.24/x
  3. Step 3: Cross multiply
    119,054.29x = 164,289.51 × 65,338.24
  4. Step 4: Simplify right side
    119,054.29x = 10,734,387,433.86
  5. Step 5: Solve for x
    x = 10,734,387,433.86/119,054.29
  6. Step 6: Final answer
    x = 90,163.80

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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.