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Finding the Fourth Proportional to 195,205.20, 292,159.80 and 141,745.20

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Solution

The fourth proportional to 195,205.20, 292,159.80 and 141,745.20 is: 212,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,205.20 : 292,159.80 = 141,745.20 : x
  2. Step 2: Convert to fraction form
    195,205.20/292,159.80 = 141,745.20/x
  3. Step 3: Cross multiply
    195,205.20x = 292,159.80 × 141,745.20
  4. Step 4: Simplify right side
    195,205.20x = 41,412,249,282.96
  5. Step 5: Solve for x
    x = 41,412,249,282.96/195,205.20
  6. Step 6: Final answer
    x = 212,147.26

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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.