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Finding the Fourth Proportional to 310,135.52, 464,907.72 and 99,625.64

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Solution

The fourth proportional to 310,135.52, 464,907.72 and 99,625.64 is: 149,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,135.52 : 464,907.72 = 99,625.64 : x
  2. Step 2: Convert to fraction form
    310,135.52/464,907.72 = 99,625.64/x
  3. Step 3: Cross multiply
    310,135.52x = 464,907.72 × 99,625.64
  4. Step 4: Simplify right side
    310,135.52x = 46,316,729,145.94
  5. Step 5: Solve for x
    x = 46,316,729,145.94/310,135.52
  6. Step 6: Final answer
    x = 149,343.52

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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.