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Finding the Fourth Proportional to 272,309.60, 408,464.40 and 166,021.40

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Solution

The fourth proportional to 272,309.60, 408,464.40 and 166,021.40 is: 249,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,309.60 : 408,464.40 = 166,021.40 : x
  2. Step 2: Convert to fraction form
    272,309.60/408,464.40 = 166,021.40/x
  3. Step 3: Cross multiply
    272,309.60x = 408,464.40 × 166,021.40
  4. Step 4: Simplify right side
    272,309.60x = 67,813,831,538.16
  5. Step 5: Solve for x
    x = 67,813,831,538.16/272,309.60
  6. Step 6: Final answer
    x = 249,032.10

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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.