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Finding the Fourth Proportional to 229,707.63, 316,997.55 and 134,194.05

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Solution

The fourth proportional to 229,707.63, 316,997.55 and 134,194.05 is: 185,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,707.63 : 316,997.55 = 134,194.05 : x
  2. Step 2: Convert to fraction form
    229,707.63/316,997.55 = 134,194.05/x
  3. Step 3: Cross multiply
    229,707.63x = 316,997.55 × 134,194.05
  4. Step 4: Simplify right side
    229,707.63x = 42,539,185,074.58
  5. Step 5: Solve for x
    x = 42,539,185,074.58/229,707.63
  6. Step 6: Final answer
    x = 185,188.39

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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.