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Finding the Fourth Proportional to 232,715.54, 321,148.74 and 130,745.30

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Solution

The fourth proportional to 232,715.54, 321,148.74 and 130,745.30 is: 180,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,715.54 : 321,148.74 = 130,745.30 : x
  2. Step 2: Convert to fraction form
    232,715.54/321,148.74 = 130,745.30/x
  3. Step 3: Cross multiply
    232,715.54x = 321,148.74 × 130,745.30
  4. Step 4: Simplify right side
    232,715.54x = 41,988,688,831.93
  5. Step 5: Solve for x
    x = 41,988,688,831.93/232,715.54
  6. Step 6: Final answer
    x = 180,429.24

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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.