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Finding the Fourth Proportional to 142,953.50, 197,146.68 and 89,243.48

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Solution

The fourth proportional to 142,953.50, 197,146.68 and 89,243.48 is: 123,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953.50 : 197,146.68 = 89,243.48 : x
  2. Step 2: Convert to fraction form
    142,953.50/197,146.68 = 89,243.48/x
  3. Step 3: Cross multiply
    142,953.50x = 197,146.68 × 89,243.48
  4. Step 4: Simplify right side
    142,953.50x = 17,594,055,793.65
  5. Step 5: Solve for x
    x = 17,594,055,793.65/142,953.50
  6. Step 6: Final answer
    x = 123,075.38

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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.