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Finding the Fourth Proportional to 208,058.69, 287,414.93 and 165,562.85

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Solution

The fourth proportional to 208,058.69, 287,414.93 and 165,562.85 is: 228,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.69 : 287,414.93 = 165,562.85 : x
  2. Step 2: Convert to fraction form
    208,058.69/287,414.93 = 165,562.85/x
  3. Step 3: Cross multiply
    208,058.69x = 287,414.93 × 165,562.85
  4. Step 4: Simplify right side
    208,058.69x = 47,585,234,943.35
  5. Step 5: Solve for x
    x = 47,585,234,943.35/208,058.69
  6. Step 6: Final answer
    x = 228,710.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.