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Finding the Fourth Proportional to 514,835.88, 772,242.62 and 140,858.88

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Solution

The fourth proportional to 514,835.88, 772,242.62 and 140,858.88 is: 211,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,835.88 : 772,242.62 = 140,858.88 : x
  2. Step 2: Convert to fraction form
    514,835.88/772,242.62 = 140,858.88/x
  3. Step 3: Cross multiply
    514,835.88x = 772,242.62 × 140,858.88
  4. Step 4: Simplify right side
    514,835.88x = 108,777,230,541.47
  5. Step 5: Solve for x
    x = 108,777,230,541.47/514,835.88
  6. Step 6: Final answer
    x = 211,285.26

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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.