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Finding the Fourth Proportional to 200,907.54, 301,356.45 and 51,148.16

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Solution

The fourth proportional to 200,907.54, 301,356.45 and 51,148.16 is: 76,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907.54 : 301,356.45 = 51,148.16 : x
  2. Step 2: Convert to fraction form
    200,907.54/301,356.45 = 51,148.16/x
  3. Step 3: Cross multiply
    200,907.54x = 301,356.45 × 51,148.16
  4. Step 4: Simplify right side
    200,907.54x = 15,413,827,544.94
  5. Step 5: Solve for x
    x = 15,413,827,544.94/200,907.54
  6. Step 6: Final answer
    x = 76,721.00

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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.