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Finding the Fourth Proportional to 193,041.72, 288,242.19 and 172,921.32

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Solution

The fourth proportional to 193,041.72, 288,242.19 and 172,921.32 is: 258,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,041.72 : 288,242.19 = 172,921.32 : x
  2. Step 2: Convert to fraction form
    193,041.72/288,242.19 = 172,921.32/x
  3. Step 3: Cross multiply
    193,041.72x = 288,242.19 × 172,921.32
  4. Step 4: Simplify right side
    193,041.72x = 49,843,219,974.49
  5. Step 5: Solve for x
    x = 49,843,219,974.49/193,041.72
  6. Step 6: Final answer
    x = 258,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.