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Finding the Fourth Proportional to 237,658.71, 356,498.79 and 77,743.77

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Solution

The fourth proportional to 237,658.71, 356,498.79 and 77,743.77 is: 116,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,658.71 : 356,498.79 = 77,743.77 : x
  2. Step 2: Convert to fraction form
    237,658.71/356,498.79 = 77,743.77/x
  3. Step 3: Cross multiply
    237,658.71x = 356,498.79 × 77,743.77
  4. Step 4: Simplify right side
    237,658.71x = 27,715,559,935.04
  5. Step 5: Solve for x
    x = 27,715,559,935.04/237,658.71
  6. Step 6: Final answer
    x = 116,619.16

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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.