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Finding the Fourth Proportional to 309,393.66, 464,090.86 and 84,756.03

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Solution

The fourth proportional to 309,393.66, 464,090.86 and 84,756.03 is: 127,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,393.66 : 464,090.86 = 84,756.03 : x
  2. Step 2: Convert to fraction form
    309,393.66/464,090.86 = 84,756.03/x
  3. Step 3: Cross multiply
    309,393.66x = 464,090.86 × 84,756.03
  4. Step 4: Simplify right side
    309,393.66x = 39,334,499,829.00
  5. Step 5: Solve for x
    x = 39,334,499,829.00/309,393.66
  6. Step 6: Final answer
    x = 127,134.15

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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.