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Finding the Fourth Proportional to 187,232.34, 258,380.74 and 102,349.42

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Solution

The fourth proportional to 187,232.34, 258,380.74 and 102,349.42 is: 141,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232.34 : 258,380.74 = 102,349.42 : x
  2. Step 2: Convert to fraction form
    187,232.34/258,380.74 = 102,349.42/x
  3. Step 3: Cross multiply
    187,232.34x = 258,380.74 × 102,349.42
  4. Step 4: Simplify right side
    187,232.34x = 26,445,118,878.17
  5. Step 5: Solve for x
    x = 26,445,118,878.17/187,232.34
  6. Step 6: Final answer
    x = 141,242.26

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