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Finding the Fourth Proportional to 207,302.54, 310,976.04 and 57,543.46

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Solution

The fourth proportional to 207,302.54, 310,976.04 and 57,543.46 is: 86,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,302.54 : 310,976.04 = 57,543.46 : x
  2. Step 2: Convert to fraction form
    207,302.54/310,976.04 = 57,543.46/x
  3. Step 3: Cross multiply
    207,302.54x = 310,976.04 × 57,543.46
  4. Step 4: Simplify right side
    207,302.54x = 17,894,637,318.70
  5. Step 5: Solve for x
    x = 17,894,637,318.70/207,302.54
  6. Step 6: Final answer
    x = 86,321.36

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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.