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Finding the Fourth Proportional to 106,900.83, 160,303.86 and 56,971.62

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Solution

The fourth proportional to 106,900.83, 160,303.86 and 56,971.62 is: 85,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.83 : 160,303.86 = 56,971.62 : x
  2. Step 2: Convert to fraction form
    106,900.83/160,303.86 = 56,971.62/x
  3. Step 3: Cross multiply
    106,900.83x = 160,303.86 × 56,971.62
  4. Step 4: Simplify right side
    106,900.83x = 9,132,770,596.45
  5. Step 5: Solve for x
    x = 9,132,770,596.45/106,900.83
  6. Step 6: Final answer
    x = 85,432.18

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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.