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Finding the Fourth Proportional to 119,295.24, 178,831.62 and 40,354.56

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Solution

The fourth proportional to 119,295.24, 178,831.62 and 40,354.56 is: 60,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.24 : 178,831.62 = 40,354.56 : x
  2. Step 2: Convert to fraction form
    119,295.24/178,831.62 = 40,354.56/x
  3. Step 3: Cross multiply
    119,295.24x = 178,831.62 × 40,354.56
  4. Step 4: Simplify right side
    119,295.24x = 7,216,671,339.19
  5. Step 5: Solve for x
    x = 7,216,671,339.19/119,295.24
  6. Step 6: Final answer
    x = 60,494.21

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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.