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Finding the Fourth Proportional to 106,323.68, 159,486.74 and 45,525.76

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Solution

The fourth proportional to 106,323.68, 159,486.74 and 45,525.76 is: 68,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,323.68 : 159,486.74 = 45,525.76 : x
  2. Step 2: Convert to fraction form
    106,323.68/159,486.74 = 45,525.76/x
  3. Step 3: Cross multiply
    106,323.68x = 159,486.74 × 45,525.76
  4. Step 4: Simplify right side
    106,323.68x = 7,260,755,048.42
  5. Step 5: Solve for x
    x = 7,260,755,048.42/106,323.68
  6. Step 6: Final answer
    x = 68,289.16

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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.