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Finding the Fourth Proportional to 157,095.84, 216,721.80 and 106,092

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Solution

The fourth proportional to 157,095.84, 216,721.80 and 106,092 is: 146,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095.84 : 216,721.80 = 106,092 : x
  2. Step 2: Convert to fraction form
    157,095.84/216,721.80 = 106,092/x
  3. Step 3: Cross multiply
    157,095.84x = 216,721.80 × 106,092
  4. Step 4: Simplify right side
    157,095.84x = 22,992,449,205.60
  5. Step 5: Solve for x
    x = 22,992,449,205.60/157,095.84
  6. Step 6: Final answer
    x = 146,359.38

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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.