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Finding the Fourth Proportional to 169,497.50, 233,913.84 and 94,046

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Solution

The fourth proportional to 169,497.50, 233,913.84 and 94,046 is: 129,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,497.50 : 233,913.84 = 94,046 : x
  2. Step 2: Convert to fraction form
    169,497.50/233,913.84 = 94,046/x
  3. Step 3: Cross multiply
    169,497.50x = 233,913.84 × 94,046
  4. Step 4: Simplify right side
    169,497.50x = 21,998,660,996.64
  5. Step 5: Solve for x
    x = 21,998,660,996.64/169,497.50
  6. Step 6: Final answer
    x = 129,787.52

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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.