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Finding the Fourth Proportional to 299,703.60, 448,972.20 and 166,345.20

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Solution

The fourth proportional to 299,703.60, 448,972.20 and 166,345.20 is: 249,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,703.60 : 448,972.20 = 166,345.20 : x
  2. Step 2: Convert to fraction form
    299,703.60/448,972.20 = 166,345.20/x
  3. Step 3: Cross multiply
    299,703.60x = 448,972.20 × 166,345.20
  4. Step 4: Simplify right side
    299,703.60x = 74,684,370,403.44
  5. Step 5: Solve for x
    x = 74,684,370,403.44/299,703.60
  6. Step 6: Final answer
    x = 249,194.11

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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.