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Finding the Fourth Proportional to 160,630.29, 221,637.87 and 96,971.58

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Solution

The fourth proportional to 160,630.29, 221,637.87 and 96,971.58 is: 133,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,630.29 : 221,637.87 = 96,971.58 : x
  2. Step 2: Convert to fraction form
    160,630.29/221,637.87 = 96,971.58/x
  3. Step 3: Cross multiply
    160,630.29x = 221,637.87 × 96,971.58
  4. Step 4: Simplify right side
    160,630.29x = 21,492,574,441.73
  5. Step 5: Solve for x
    x = 21,492,574,441.73/160,630.29
  6. Step 6: Final answer
    x = 133,801.50

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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.