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Finding the Fourth Proportional to 119,216.86, 178,838.25 and 44,328.22

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Solution

The fourth proportional to 119,216.86, 178,838.25 and 44,328.22 is: 66,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,216.86 : 178,838.25 = 44,328.22 : x
  2. Step 2: Convert to fraction form
    119,216.86/178,838.25 = 44,328.22/x
  3. Step 3: Cross multiply
    119,216.86x = 178,838.25 × 44,328.22
  4. Step 4: Simplify right side
    119,216.86x = 7,927,581,290.42
  5. Step 5: Solve for x
    x = 7,927,581,290.42/119,216.86
  6. Step 6: Final answer
    x = 66,497.15

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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.