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Finding the Fourth Proportional to 267,564, 369,295.92 and 160,158

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Solution

The fourth proportional to 267,564, 369,295.92 and 160,158 is: 221,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564 : 369,295.92 = 160,158 : x
  2. Step 2: Convert to fraction form
    267,564/369,295.92 = 160,158/x
  3. Step 3: Cross multiply
    267,564x = 369,295.92 × 160,158
  4. Step 4: Simplify right side
    267,564x = 59,145,695,955.36
  5. Step 5: Solve for x
    x = 59,145,695,955.36/267,564
  6. Step 6: Final answer
    x = 221,052.52

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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.