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Finding the Fourth Proportional to 151,320, 208,821.60 and 84,267.84

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Solution

The fourth proportional to 151,320, 208,821.60 and 84,267.84 is: 116,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,320 : 208,821.60 = 84,267.84 : x
  2. Step 2: Convert to fraction form
    151,320/208,821.60 = 84,267.84/x
  3. Step 3: Cross multiply
    151,320x = 208,821.60 × 84,267.84
  4. Step 4: Simplify right side
    151,320x = 17,596,945,177.34
  5. Step 5: Solve for x
    x = 17,596,945,177.34/151,320
  6. Step 6: Final answer
    x = 116,289.62

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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.