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Finding the Fourth Proportional to 198,681.40, 298,022.10 and 177,030.10

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Solution

The fourth proportional to 198,681.40, 298,022.10 and 177,030.10 is: 265,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,681.40 : 298,022.10 = 177,030.10 : x
  2. Step 2: Convert to fraction form
    198,681.40/298,022.10 = 177,030.10/x
  3. Step 3: Cross multiply
    198,681.40x = 298,022.10 × 177,030.10
  4. Step 4: Simplify right side
    198,681.40x = 52,758,882,165.21
  5. Step 5: Solve for x
    x = 52,758,882,165.21/198,681.40
  6. Step 6: Final answer
    x = 265,545.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.