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Finding the Fourth Proportional to 146,567.80, 219,689.70 and 57,791.80

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Solution

The fourth proportional to 146,567.80, 219,689.70 and 57,791.80 is: 86,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,567.80 : 219,689.70 = 57,791.80 : x
  2. Step 2: Convert to fraction form
    146,567.80/219,689.70 = 57,791.80/x
  3. Step 3: Cross multiply
    146,567.80x = 219,689.70 × 57,791.80
  4. Step 4: Simplify right side
    146,567.80x = 12,696,263,204.46
  5. Step 5: Solve for x
    x = 12,696,263,204.46/146,567.80
  6. Step 6: Final answer
    x = 86,623.82

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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.