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Finding the Fourth Proportional to 187,937.34, 259,102.64 and 149,303.36

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Solution

The fourth proportional to 187,937.34, 259,102.64 and 149,303.36 is: 205,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,937.34 : 259,102.64 = 149,303.36 : x
  2. Step 2: Convert to fraction form
    187,937.34/259,102.64 = 149,303.36/x
  3. Step 3: Cross multiply
    187,937.34x = 259,102.64 × 149,303.36
  4. Step 4: Simplify right side
    187,937.34x = 38,684,893,441.36
  5. Step 5: Solve for x
    x = 38,684,893,441.36/187,937.34
  6. Step 6: Final answer
    x = 205,839.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.