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Finding the Fourth Proportional to 109,892.70, 164,839.05 and 99,006.30

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Solution

The fourth proportional to 109,892.70, 164,839.05 and 99,006.30 is: 148,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.70 : 164,839.05 = 99,006.30 : x
  2. Step 2: Convert to fraction form
    109,892.70/164,839.05 = 99,006.30/x
  3. Step 3: Cross multiply
    109,892.70x = 164,839.05 × 99,006.30
  4. Step 4: Simplify right side
    109,892.70x = 16,320,104,436.02
  5. Step 5: Solve for x
    x = 16,320,104,436.02/109,892.70
  6. Step 6: Final answer
    x = 148,509.45

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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.