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Finding the Fourth Proportional to 119,142.48, 178,661.25 and 55,980.57

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Solution

The fourth proportional to 119,142.48, 178,661.25 and 55,980.57 is: 83,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142.48 : 178,661.25 = 55,980.57 : x
  2. Step 2: Convert to fraction form
    119,142.48/178,661.25 = 55,980.57/x
  3. Step 3: Cross multiply
    119,142.48x = 178,661.25 × 55,980.57
  4. Step 4: Simplify right side
    119,142.48x = 10,001,558,611.91
  5. Step 5: Solve for x
    x = 10,001,558,611.91/119,142.48
  6. Step 6: Final answer
    x = 83,946.20

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