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Finding the Fourth Proportional to 261,429.50, 360,773.03 and 142,197.50

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Solution

The fourth proportional to 261,429.50, 360,773.03 and 142,197.50 is: 196,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,429.50 : 360,773.03 = 142,197.50 : x
  2. Step 2: Convert to fraction form
    261,429.50/360,773.03 = 142,197.50/x
  3. Step 3: Cross multiply
    261,429.50x = 360,773.03 × 142,197.50
  4. Step 4: Simplify right side
    261,429.50x = 51,301,022,933.43
  5. Step 5: Solve for x
    x = 51,301,022,933.43/261,429.50
  6. Step 6: Final answer
    x = 196,232.72

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1.5x scale

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.