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Finding the Fourth Proportional to 237,357.82, 356,035.83 and 97,116.40

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Solution

The fourth proportional to 237,357.82, 356,035.83 and 97,116.40 is: 145,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,357.82 : 356,035.83 = 97,116.40 : x
  2. Step 2: Convert to fraction form
    237,357.82/356,035.83 = 97,116.40/x
  3. Step 3: Cross multiply
    237,357.82x = 356,035.83 × 97,116.40
  4. Step 4: Simplify right side
    237,357.82x = 34,576,918,080.61
  5. Step 5: Solve for x
    x = 34,576,918,080.61/237,357.82
  6. Step 6: Final answer
    x = 145,674.23

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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.