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Finding the Fourth Proportional to 253,098.16, 349,257.92 and 139,912

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Solution

The fourth proportional to 253,098.16, 349,257.92 and 139,912 is: 193,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,098.16 : 349,257.92 = 139,912 : x
  2. Step 2: Convert to fraction form
    253,098.16/349,257.92 = 139,912/x
  3. Step 3: Cross multiply
    253,098.16x = 349,257.92 × 139,912
  4. Step 4: Simplify right side
    253,098.16x = 48,865,374,103.04
  5. Step 5: Solve for x
    x = 48,865,374,103.04/253,098.16
  6. Step 6: Final answer
    x = 193,068.86

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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.