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Finding the Fourth Proportional to 194,970.80, 292,456.20 and 142,482.80

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Solution

The fourth proportional to 194,970.80, 292,456.20 and 142,482.80 is: 213,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,970.80 : 292,456.20 = 142,482.80 : x
  2. Step 2: Convert to fraction form
    194,970.80/292,456.20 = 142,482.80/x
  3. Step 3: Cross multiply
    194,970.80x = 292,456.20 × 142,482.80
  4. Step 4: Simplify right side
    194,970.80x = 41,669,978,253.36
  5. Step 5: Solve for x
    x = 41,669,978,253.36/194,970.80
  6. Step 6: Final answer
    x = 213,724.20

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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.