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Finding the Fourth Proportional to 187,294.52, 258,466.50 and 102,412.28

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Solution

The fourth proportional to 187,294.52, 258,466.50 and 102,412.28 is: 141,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,294.52 : 258,466.50 = 102,412.28 : x
  2. Step 2: Convert to fraction form
    187,294.52/258,466.50 = 102,412.28/x
  3. Step 3: Cross multiply
    187,294.52x = 258,466.50 × 102,412.28
  4. Step 4: Simplify right side
    187,294.52x = 26,470,143,568.62
  5. Step 5: Solve for x
    x = 26,470,143,568.62/187,294.52
  6. Step 6: Final answer
    x = 141,328.98

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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.