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Finding the Fourth Proportional to 131,123, 180,949.74 and 71,507

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Solution

The fourth proportional to 131,123, 180,949.74 and 71,507 is: 98,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,123 : 180,949.74 = 71,507 : x
  2. Step 2: Convert to fraction form
    131,123/180,949.74 = 71,507/x
  3. Step 3: Cross multiply
    131,123x = 180,949.74 × 71,507
  4. Step 4: Simplify right side
    131,123x = 12,939,173,058.18
  5. Step 5: Solve for x
    x = 12,939,173,058.18/131,123
  6. Step 6: Final answer
    x = 98,679.66

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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.