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Finding the Fourth Proportional to 242,365, 334,489.62 and 141,847.24

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Solution

The fourth proportional to 242,365, 334,489.62 and 141,847.24 is: 195,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,365 : 334,489.62 = 141,847.24 : x
  2. Step 2: Convert to fraction form
    242,365/334,489.62 = 141,847.24/x
  3. Step 3: Cross multiply
    242,365x = 334,489.62 × 141,847.24
  4. Step 4: Simplify right side
    242,365x = 47,446,429,405.65
  5. Step 5: Solve for x
    x = 47,446,429,405.65/242,365
  6. Step 6: Final answer
    x = 195,764.36

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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.