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Finding the Fourth Proportional to 342,098.47, 472,094.71 and 191,195.47

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Solution

The fourth proportional to 342,098.47, 472,094.71 and 191,195.47 is: 263,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,098.47 : 472,094.71 = 191,195.47 : x
  2. Step 2: Convert to fraction form
    342,098.47/472,094.71 = 191,195.47/x
  3. Step 3: Cross multiply
    342,098.47x = 472,094.71 × 191,195.47
  4. Step 4: Simplify right side
    342,098.47x = 90,262,370,075.09
  5. Step 5: Solve for x
    x = 90,262,370,075.09/342,098.47
  6. Step 6: Final answer
    x = 263,849.09

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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.