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Finding the Fourth Proportional to 106,187.96, 159,095.06 and 99,866.73

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Solution

The fourth proportional to 106,187.96, 159,095.06 and 99,866.73 is: 149,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.96 : 159,095.06 = 99,866.73 : x
  2. Step 2: Convert to fraction form
    106,187.96/159,095.06 = 99,866.73/x
  3. Step 3: Cross multiply
    106,187.96x = 159,095.06 × 99,866.73
  4. Step 4: Simplify right side
    106,187.96x = 15,888,303,401.35
  5. Step 5: Solve for x
    x = 15,888,303,401.35/106,187.96
  6. Step 6: Final answer
    x = 149,624.35

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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.