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Finding the Fourth Proportional to 243,085.20, 364,610.52 and 65,602.32

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Solution

The fourth proportional to 243,085.20, 364,610.52 and 65,602.32 is: 98,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,085.20 : 364,610.52 = 65,602.32 : x
  2. Step 2: Convert to fraction form
    243,085.20/364,610.52 = 65,602.32/x
  3. Step 3: Cross multiply
    243,085.20x = 364,610.52 × 65,602.32
  4. Step 4: Simplify right side
    243,085.20x = 23,919,296,008.41
  5. Step 5: Solve for x
    x = 23,919,296,008.41/243,085.20
  6. Step 6: Final answer
    x = 98,398.82

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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.