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Finding the Fourth Proportional to 232,966.15, 349,391.50 and 99,831.31

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Solution

The fourth proportional to 232,966.15, 349,391.50 and 99,831.31 is: 149,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,966.15 : 349,391.50 = 99,831.31 : x
  2. Step 2: Convert to fraction form
    232,966.15/349,391.50 = 99,831.31/x
  3. Step 3: Cross multiply
    232,966.15x = 349,391.50 × 99,831.31
  4. Step 4: Simplify right side
    232,966.15x = 34,880,210,024.81
  5. Step 5: Solve for x
    x = 34,880,210,024.81/232,966.15
  6. Step 6: Final answer
    x = 149,722.23

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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.