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Finding the Fourth Proportional to 149,477.13, 224,233.93 and 54,692.55

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Solution

The fourth proportional to 149,477.13, 224,233.93 and 54,692.55 is: 82,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477.13 : 224,233.93 = 54,692.55 : x
  2. Step 2: Convert to fraction form
    149,477.13/224,233.93 = 54,692.55/x
  3. Step 3: Cross multiply
    149,477.13x = 224,233.93 × 54,692.55
  4. Step 4: Simplify right side
    149,477.13x = 12,263,925,428.22
  5. Step 5: Solve for x
    x = 12,263,925,428.22/149,477.13
  6. Step 6: Final answer
    x = 82,045.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.