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Finding the Fourth Proportional to 171,442.95, 257,262.89 and 133,897.63

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Solution

The fourth proportional to 171,442.95, 257,262.89 and 133,897.63 is: 200,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,442.95 : 257,262.89 = 133,897.63 : x
  2. Step 2: Convert to fraction form
    171,442.95/257,262.89 = 133,897.63/x
  3. Step 3: Cross multiply
    171,442.95x = 257,262.89 × 133,897.63
  4. Step 4: Simplify right side
    171,442.95x = 34,446,891,151.23
  5. Step 5: Solve for x
    x = 34,446,891,151.23/171,442.95
  6. Step 6: Final answer
    x = 200,923.34

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1.5x scale

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.