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Finding the Fourth Proportional to 229,842.96, 344,051.64 and 124,400.40

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Solution

The fourth proportional to 229,842.96, 344,051.64 and 124,400.40 is: 186,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,842.96 : 344,051.64 = 124,400.40 : x
  2. Step 2: Convert to fraction form
    229,842.96/344,051.64 = 124,400.40/x
  3. Step 3: Cross multiply
    229,842.96x = 344,051.64 × 124,400.40
  4. Step 4: Simplify right side
    229,842.96x = 42,800,161,636.66
  5. Step 5: Solve for x
    x = 42,800,161,636.66/229,842.96
  6. Step 6: Final answer
    x = 186,214.80

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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.