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Finding the Fourth Proportional to 119,130.85, 178,643.80 and 55,968.92

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Solution

The fourth proportional to 119,130.85, 178,643.80 and 55,968.92 is: 83,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,130.85 : 178,643.80 = 55,968.92 : x
  2. Step 2: Convert to fraction form
    119,130.85/178,643.80 = 55,968.92/x
  3. Step 3: Cross multiply
    119,130.85x = 178,643.80 × 55,968.92
  4. Step 4: Simplify right side
    119,130.85x = 9,998,501,559.64
  5. Step 5: Solve for x
    x = 9,998,501,559.64/119,130.85
  6. Step 6: Final answer
    x = 83,928.73

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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.