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Finding the Fourth Proportional to 229,275.74, 343,796.54 and 134,690.66

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Solution

The fourth proportional to 229,275.74, 343,796.54 and 134,690.66 is: 201,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,275.74 : 343,796.54 = 134,690.66 : x
  2. Step 2: Convert to fraction form
    229,275.74/343,796.54 = 134,690.66/x
  3. Step 3: Cross multiply
    229,275.74x = 343,796.54 × 134,690.66
  4. Step 4: Simplify right side
    229,275.74x = 46,306,182,878.32
  5. Step 5: Solve for x
    x = 46,306,182,878.32/229,275.74
  6. Step 6: Final answer
    x = 201,967.22

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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.