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Finding the Fourth Proportional to 144,900.56, 199,982.04 and 84,472.40

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Solution

The fourth proportional to 144,900.56, 199,982.04 and 84,472.40 is: 116,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900.56 : 199,982.04 = 84,472.40 : x
  2. Step 2: Convert to fraction form
    144,900.56/199,982.04 = 84,472.40/x
  3. Step 3: Cross multiply
    144,900.56x = 199,982.04 × 84,472.40
  4. Step 4: Simplify right side
    144,900.56x = 16,892,962,875.70
  5. Step 5: Solve for x
    x = 16,892,962,875.70/144,900.56
  6. Step 6: Final answer
    x = 116,583.14

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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.