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Finding the Fourth Proportional to 160,098.72, 220,821.84 and 122,307.36

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Solution

The fourth proportional to 160,098.72, 220,821.84 and 122,307.36 is: 168,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,098.72 : 220,821.84 = 122,307.36 : x
  2. Step 2: Convert to fraction form
    160,098.72/220,821.84 = 122,307.36/x
  3. Step 3: Cross multiply
    160,098.72x = 220,821.84 × 122,307.36
  4. Step 4: Simplify right side
    160,098.72x = 27,008,136,280.74
  5. Step 5: Solve for x
    x = 27,008,136,280.74/160,098.72
  6. Step 6: Final answer
    x = 168,696.77

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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.