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Finding the Fourth Proportional to 146,857.69, 202,671.66 and 83,207.89

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Solution

The fourth proportional to 146,857.69, 202,671.66 and 83,207.89 is: 114,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857.69 : 202,671.66 = 83,207.89 : x
  2. Step 2: Convert to fraction form
    146,857.69/202,671.66 = 83,207.89/x
  3. Step 3: Cross multiply
    146,857.69x = 202,671.66 × 83,207.89
  4. Step 4: Simplify right side
    146,857.69x = 16,863,881,191.40
  5. Step 5: Solve for x
    x = 16,863,881,191.40/146,857.69
  6. Step 6: Final answer
    x = 114,831.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.