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Finding the Fourth Proportional to 340,090.88, 510,131.84 and 152,970.24

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Solution

The fourth proportional to 340,090.88, 510,131.84 and 152,970.24 is: 229,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,090.88 : 510,131.84 = 152,970.24 : x
  2. Step 2: Convert to fraction form
    340,090.88/510,131.84 = 152,970.24/x
  3. Step 3: Cross multiply
    340,090.88x = 510,131.84 × 152,970.24
  4. Step 4: Simplify right side
    340,090.88x = 78,034,989,996.44
  5. Step 5: Solve for x
    x = 78,034,989,996.44/340,090.88
  6. Step 6: Final answer
    x = 229,453.34

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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.