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Finding the Fourth Proportional to 105,870.90, 158,820.16 and 55,952.92

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Solution

The fourth proportional to 105,870.90, 158,820.16 and 55,952.92 is: 83,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,870.90 : 158,820.16 = 55,952.92 : x
  2. Step 2: Convert to fraction form
    105,870.90/158,820.16 = 55,952.92/x
  3. Step 3: Cross multiply
    105,870.90x = 158,820.16 × 55,952.92
  4. Step 4: Simplify right side
    105,870.90x = 8,886,451,706.87
  5. Step 5: Solve for x
    x = 8,886,451,706.87/105,870.90
  6. Step 6: Final answer
    x = 83,936.68

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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.