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Finding the Fourth Proportional to 106,792.96, 160,188.48 and 75,072.16

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Solution

The fourth proportional to 106,792.96, 160,188.48 and 75,072.16 is: 112,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,792.96 : 160,188.48 = 75,072.16 : x
  2. Step 2: Convert to fraction form
    106,792.96/160,188.48 = 75,072.16/x
  3. Step 3: Cross multiply
    106,792.96x = 160,188.48 × 75,072.16
  4. Step 4: Simplify right side
    106,792.96x = 12,025,695,200.72
  5. Step 5: Solve for x
    x = 12,025,695,200.72/106,792.96
  6. Step 6: Final answer
    x = 112,607.57

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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.