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Finding the Fourth Proportional to 237,497.31, 356,243.63 and 102,656.75

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Solution

The fourth proportional to 237,497.31, 356,243.63 and 102,656.75 is: 153,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,497.31 : 356,243.63 = 102,656.75 : x
  2. Step 2: Convert to fraction form
    237,497.31/356,243.63 = 102,656.75/x
  3. Step 3: Cross multiply
    237,497.31x = 356,243.63 × 102,656.75
  4. Step 4: Simplify right side
    237,497.31x = 36,570,810,969.50
  5. Step 5: Solve for x
    x = 36,570,810,969.50/237,497.31
  6. Step 6: Final answer
    x = 153,984.11

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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.