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Finding the Fourth Proportional to 209,424.66, 289,106.40 and 128,921.19

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Solution

The fourth proportional to 209,424.66, 289,106.40 and 128,921.19 is: 177,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.66 : 289,106.40 = 128,921.19 : x
  2. Step 2: Convert to fraction form
    209,424.66/289,106.40 = 128,921.19/x
  3. Step 3: Cross multiply
    209,424.66x = 289,106.40 × 128,921.19
  4. Step 4: Simplify right side
    209,424.66x = 37,271,941,124.62
  5. Step 5: Solve for x
    x = 37,271,941,124.62/209,424.66
  6. Step 6: Final answer
    x = 177,973.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.