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Finding the Fourth Proportional to 299,167.73, 448,834.64 and 166,141.40

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Solution

The fourth proportional to 299,167.73, 448,834.64 and 166,141.40 is: 249,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,167.73 : 448,834.64 = 166,141.40 : x
  2. Step 2: Convert to fraction form
    299,167.73/448,834.64 = 166,141.40/x
  3. Step 3: Cross multiply
    299,167.73x = 448,834.64 × 166,141.40
  4. Step 4: Simplify right side
    299,167.73x = 74,570,017,572.08
  5. Step 5: Solve for x
    x = 74,570,017,572.08/299,167.73
  6. Step 6: Final answer
    x = 249,258.23

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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.