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Finding the Fourth Proportional to 237,756.41, 356,689.30 and 77,837.51

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Solution

The fourth proportional to 237,756.41, 356,689.30 and 77,837.51 is: 116,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,756.41 : 356,689.30 = 77,837.51 : x
  2. Step 2: Convert to fraction form
    237,756.41/356,689.30 = 77,837.51/x
  3. Step 3: Cross multiply
    237,756.41x = 356,689.30 × 77,837.51
  4. Step 4: Simplify right side
    237,756.41x = 27,763,806,955.64
  5. Step 5: Solve for x
    x = 27,763,806,955.64/237,756.41
  6. Step 6: Final answer
    x = 116,774.17

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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.