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Finding the Fourth Proportional to 146,827, 202,604.07 and 86,384.35

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Solution

The fourth proportional to 146,827, 202,604.07 and 86,384.35 is: 119,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,827 : 202,604.07 = 86,384.35 : x
  2. Step 2: Convert to fraction form
    146,827/202,604.07 = 86,384.35/x
  3. Step 3: Cross multiply
    146,827x = 202,604.07 × 86,384.35
  4. Step 4: Simplify right side
    146,827x = 17,501,820,894.30
  5. Step 5: Solve for x
    x = 17,501,820,894.30/146,827
  6. Step 6: Final answer
    x = 119,200.29

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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.