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Finding the Fourth Proportional to 199,001.76, 274,608.54 and 112,962.48

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Solution

The fourth proportional to 199,001.76, 274,608.54 and 112,962.48 is: 155,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,001.76 : 274,608.54 = 112,962.48 : x
  2. Step 2: Convert to fraction form
    199,001.76/274,608.54 = 112,962.48/x
  3. Step 3: Cross multiply
    199,001.76x = 274,608.54 × 112,962.48
  4. Step 4: Simplify right side
    199,001.76x = 31,020,461,707.58
  5. Step 5: Solve for x
    x = 31,020,461,707.58/199,001.76
  6. Step 6: Final answer
    x = 155,880.34

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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.