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Finding the Fourth Proportional to 160,033, 220,845.54 and 92,969.32

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Solution

The fourth proportional to 160,033, 220,845.54 and 92,969.32 is: 128,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,033 : 220,845.54 = 92,969.32 : x
  2. Step 2: Convert to fraction form
    160,033/220,845.54 = 92,969.32/x
  3. Step 3: Cross multiply
    160,033x = 220,845.54 × 92,969.32
  4. Step 4: Simplify right side
    160,033x = 20,531,859,678.83
  5. Step 5: Solve for x
    x = 20,531,859,678.83/160,033
  6. Step 6: Final answer
    x = 128,297.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.