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Finding the Fourth Proportional to 237,497.80, 356,117.10 and 97,097.80

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Solution

The fourth proportional to 237,497.80, 356,117.10 and 97,097.80 is: 145,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,497.80 : 356,117.10 = 97,097.80 : x
  2. Step 2: Convert to fraction form
    237,497.80/356,117.10 = 97,097.80/x
  3. Step 3: Cross multiply
    237,497.80x = 356,117.10 × 97,097.80
  4. Step 4: Simplify right side
    237,497.80x = 34,578,186,952.38
  5. Step 5: Solve for x
    x = 34,578,186,952.38/237,497.80
  6. Step 6: Final answer
    x = 145,593.71

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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.