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Finding the Fourth Proportional to 99,809.20, 149,713.80 and 77,501.80

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Solution

The fourth proportional to 99,809.20, 149,713.80 and 77,501.80 is: 116,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.20 : 149,713.80 = 77,501.80 : x
  2. Step 2: Convert to fraction form
    99,809.20/149,713.80 = 77,501.80/x
  3. Step 3: Cross multiply
    99,809.20x = 149,713.80 × 77,501.80
  4. Step 4: Simplify right side
    99,809.20x = 11,603,088,984.84
  5. Step 5: Solve for x
    x = 11,603,088,984.84/99,809.20
  6. Step 6: Final answer
    x = 116,252.70

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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.