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Finding the Fourth Proportional to 106,772.63, 160,255.53 and 56,894.85

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Solution

The fourth proportional to 106,772.63, 160,255.53 and 56,894.85 is: 85,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,772.63 : 160,255.53 = 56,894.85 : x
  2. Step 2: Convert to fraction form
    106,772.63/160,255.53 = 56,894.85/x
  3. Step 3: Cross multiply
    106,772.63x = 160,255.53 × 56,894.85
  4. Step 4: Simplify right side
    106,772.63x = 9,117,714,341.02
  5. Step 5: Solve for x
    x = 9,117,714,341.02/106,772.63
  6. Step 6: Final answer
    x = 85,393.74

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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.