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Finding the Fourth Proportional to 228,276.40, 342,824.20 and 166,017.20

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Solution

The fourth proportional to 228,276.40, 342,824.20 and 166,017.20 is: 249,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,276.40 : 342,824.20 = 166,017.20 : x
  2. Step 2: Convert to fraction form
    228,276.40/342,824.20 = 166,017.20/x
  3. Step 3: Cross multiply
    228,276.40x = 342,824.20 × 166,017.20
  4. Step 4: Simplify right side
    228,276.40x = 56,914,713,776.24
  5. Step 5: Solve for x
    x = 56,914,713,776.24/228,276.40
  6. Step 6: Final answer
    x = 249,323.69

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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.