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Finding the Fourth Proportional to 106,708.60, 160,015.75 and 56,776.86

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Solution

The fourth proportional to 106,708.60, 160,015.75 and 56,776.86 is: 85,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.60 : 160,015.75 = 56,776.86 : x
  2. Step 2: Convert to fraction form
    106,708.60/160,015.75 = 56,776.86/x
  3. Step 3: Cross multiply
    106,708.60x = 160,015.75 × 56,776.86
  4. Step 4: Simplify right side
    106,708.60x = 9,085,191,835.55
  5. Step 5: Solve for x
    x = 9,085,191,835.55/106,708.60
  6. Step 6: Final answer
    x = 85,140.20

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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.