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Finding the Fourth Proportional to 229,602.63, 316,855.42 and 126,241.19

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Solution

The fourth proportional to 229,602.63, 316,855.42 and 126,241.19 is: 174,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,602.63 : 316,855.42 = 126,241.19 : x
  2. Step 2: Convert to fraction form
    229,602.63/316,855.42 = 126,241.19/x
  3. Step 3: Cross multiply
    229,602.63x = 316,855.42 × 126,241.19
  4. Step 4: Simplify right side
    229,602.63x = 40,000,205,278.75
  5. Step 5: Solve for x
    x = 40,000,205,278.75/229,602.63
  6. Step 6: Final answer
    x = 174,214.93

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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.