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Finding the Fourth Proportional to 109,898.96, 152,299.10 and 107,798.48

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Solution

The fourth proportional to 109,898.96, 152,299.10 and 107,798.48 is: 149,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.96 : 152,299.10 = 107,798.48 : x
  2. Step 2: Convert to fraction form
    109,898.96/152,299.10 = 107,798.48/x
  3. Step 3: Cross multiply
    109,898.96x = 152,299.10 × 107,798.48
  4. Step 4: Simplify right side
    109,898.96x = 16,417,611,485.37
  5. Step 5: Solve for x
    x = 16,417,611,485.37/109,898.96
  6. Step 6: Final answer
    x = 149,388.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.