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Finding the Fourth Proportional to 174,294.82, 261,476.25 and 55,957.06

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Solution

The fourth proportional to 174,294.82, 261,476.25 and 55,957.06 is: 83,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,294.82 : 261,476.25 = 55,957.06 : x
  2. Step 2: Convert to fraction form
    174,294.82/261,476.25 = 55,957.06/x
  3. Step 3: Cross multiply
    174,294.82x = 261,476.25 × 55,957.06
  4. Step 4: Simplify right side
    174,294.82x = 14,631,442,209.83
  5. Step 5: Solve for x
    x = 14,631,442,209.83/174,294.82
  6. Step 6: Final answer
    x = 83,946.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.