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Finding the Fourth Proportional to 160,894.56, 221,957.28 and 117,806.16

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Solution

The fourth proportional to 160,894.56, 221,957.28 and 117,806.16 is: 162,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,894.56 : 221,957.28 = 117,806.16 : x
  2. Step 2: Convert to fraction form
    160,894.56/221,957.28 = 117,806.16/x
  3. Step 3: Cross multiply
    160,894.56x = 221,957.28 × 117,806.16
  4. Step 4: Simplify right side
    160,894.56x = 26,147,934,840.84
  5. Step 5: Solve for x
    x = 26,147,934,840.84/160,894.56
  6. Step 6: Final answer
    x = 162,515.97

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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.