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Finding the Fourth Proportional to 343,541.40, 515,166.30 and 166,102.80

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Solution

The fourth proportional to 343,541.40, 515,166.30 and 166,102.80 is: 249,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,541.40 : 515,166.30 = 166,102.80 : x
  2. Step 2: Convert to fraction form
    343,541.40/515,166.30 = 166,102.80/x
  3. Step 3: Cross multiply
    343,541.40x = 515,166.30 × 166,102.80
  4. Step 4: Simplify right side
    343,541.40x = 85,570,564,895.64
  5. Step 5: Solve for x
    x = 85,570,564,895.64/343,541.40
  6. Step 6: Final answer
    x = 249,083.71

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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.