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Finding the Fourth Proportional to 105,649.92, 158,474.88 and 64,009.44

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Solution

The fourth proportional to 105,649.92, 158,474.88 and 64,009.44 is: 96,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.92 : 158,474.88 = 64,009.44 : x
  2. Step 2: Convert to fraction form
    105,649.92/158,474.88 = 64,009.44/x
  3. Step 3: Cross multiply
    105,649.92x = 158,474.88 × 64,009.44
  4. Step 4: Simplify right side
    105,649.92x = 10,143,888,322.87
  5. Step 5: Solve for x
    x = 10,143,888,322.87/105,649.92
  6. Step 6: Final answer
    x = 96,014.16

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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.