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Finding the Fourth Proportional to 251,468.90, 347,020.16 and 138,291.64

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Solution

The fourth proportional to 251,468.90, 347,020.16 and 138,291.64 is: 190,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,468.90 : 347,020.16 = 138,291.64 : x
  2. Step 2: Convert to fraction form
    251,468.90/347,020.16 = 138,291.64/x
  3. Step 3: Cross multiply
    251,468.90x = 347,020.16 × 138,291.64
  4. Step 4: Simplify right side
    251,468.90x = 47,989,987,039.46
  5. Step 5: Solve for x
    x = 47,989,987,039.46/251,468.90
  6. Step 6: Final answer
    x = 190,838.66

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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.