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Finding the Fourth Proportional to 160,128.50, 220,977.69 and 96,468.98

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Solution

The fourth proportional to 160,128.50, 220,977.69 and 96,468.98 is: 133,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128.50 : 220,977.69 = 96,468.98 : x
  2. Step 2: Convert to fraction form
    160,128.50/220,977.69 = 96,468.98/x
  3. Step 3: Cross multiply
    160,128.50x = 220,977.69 × 96,468.98
  4. Step 4: Simplify right side
    160,128.50x = 21,317,492,357.06
  5. Step 5: Solve for x
    x = 21,317,492,357.06/160,128.50
  6. Step 6: Final answer
    x = 133,127.41

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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.