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Finding the Fourth Proportional to 207,240.48, 310,510.80 and 165,600

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Solution

The fourth proportional to 207,240.48, 310,510.80 and 165,600 is: 248,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,240.48 : 310,510.80 = 165,600 : x
  2. Step 2: Convert to fraction form
    207,240.48/310,510.80 = 165,600/x
  3. Step 3: Cross multiply
    207,240.48x = 310,510.80 × 165,600
  4. Step 4: Simplify right side
    207,240.48x = 51,420,588,480
  5. Step 5: Solve for x
    x = 51,420,588,480/207,240.48
  6. Step 6: Final answer
    x = 248,120.39

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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.