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Finding the Fourth Proportional to 199,262.86, 274,984.03 and 118,693.78

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Solution

The fourth proportional to 199,262.86, 274,984.03 and 118,693.78 is: 163,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,262.86 : 274,984.03 = 118,693.78 : x
  2. Step 2: Convert to fraction form
    199,262.86/274,984.03 = 118,693.78/x
  3. Step 3: Cross multiply
    199,262.86x = 274,984.03 × 118,693.78
  4. Step 4: Simplify right side
    199,262.86x = 32,638,893,421.24
  5. Step 5: Solve for x
    x = 32,638,893,421.24/199,262.86
  6. Step 6: Final answer
    x = 163,798.18

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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.