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Finding the Fourth Proportional to 209,718.68, 289,417.41 and 114,231.51

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Solution

The fourth proportional to 209,718.68, 289,417.41 and 114,231.51 is: 157,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718.68 : 289,417.41 = 114,231.51 : x
  2. Step 2: Convert to fraction form
    209,718.68/289,417.41 = 114,231.51/x
  3. Step 3: Cross multiply
    209,718.68x = 289,417.41 × 114,231.51
  4. Step 4: Simplify right side
    209,718.68x = 33,060,587,764.59
  5. Step 5: Solve for x
    x = 33,060,587,764.59/209,718.68
  6. Step 6: Final answer
    x = 157,642.56

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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.