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Finding the Fourth Proportional to 281,575.33, 388,601.82 and 160,734.77

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Solution

The fourth proportional to 281,575.33, 388,601.82 and 160,734.77 is: 221,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,575.33 : 388,601.82 = 160,734.77 : x
  2. Step 2: Convert to fraction form
    281,575.33/388,601.82 = 160,734.77/x
  3. Step 3: Cross multiply
    281,575.33x = 388,601.82 × 160,734.77
  4. Step 4: Simplify right side
    281,575.33x = 62,461,824,159.28
  5. Step 5: Solve for x
    x = 62,461,824,159.28/281,575.33
  6. Step 6: Final answer
    x = 221,829.89

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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.