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Finding the Fourth Proportional to 209,886.39, 289,788.44 and 169,776.81

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Solution

The fourth proportional to 209,886.39, 289,788.44 and 169,776.81 is: 234,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,886.39 : 289,788.44 = 169,776.81 : x
  2. Step 2: Convert to fraction form
    209,886.39/289,788.44 = 169,776.81/x
  3. Step 3: Cross multiply
    209,886.39x = 289,788.44 × 169,776.81
  4. Step 4: Simplify right side
    209,886.39x = 49,199,356,069.19
  5. Step 5: Solve for x
    x = 49,199,356,069.19/209,886.39
  6. Step 6: Final answer
    x = 234,409.46

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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.