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Finding the Fourth Proportional to 268,692.96, 370,802.03 and 147,834.60

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Solution

The fourth proportional to 268,692.96, 370,802.03 and 147,834.60 is: 204,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,692.96 : 370,802.03 = 147,834.60 : x
  2. Step 2: Convert to fraction form
    268,692.96/370,802.03 = 147,834.60/x
  3. Step 3: Cross multiply
    268,692.96x = 370,802.03 × 147,834.60
  4. Step 4: Simplify right side
    268,692.96x = 54,817,369,784.24
  5. Step 5: Solve for x
    x = 54,817,369,784.24/268,692.96
  6. Step 6: Final answer
    x = 204,014.91

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Why These Related Problems?

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