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Finding the Fourth Proportional to 187,172.32, 258,297.90 and 102,289.37

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Solution

The fourth proportional to 187,172.32, 258,297.90 and 102,289.37 is: 141,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,172.32 : 258,297.90 = 102,289.37 : x
  2. Step 2: Convert to fraction form
    187,172.32/258,297.90 = 102,289.37/x
  3. Step 3: Cross multiply
    187,172.32x = 258,297.90 × 102,289.37
  4. Step 4: Simplify right side
    187,172.32x = 26,421,129,463.32
  5. Step 5: Solve for x
    x = 26,421,129,463.32/187,172.32
  6. Step 6: Final answer
    x = 141,159.38

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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.