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Finding the Fourth Proportional to 146,924.88, 202,802.16 and 86,490.72

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Solution

The fourth proportional to 146,924.88, 202,802.16 and 86,490.72 is: 119,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,924.88 : 202,802.16 = 86,490.72 : x
  2. Step 2: Convert to fraction form
    146,924.88/202,802.16 = 86,490.72/x
  3. Step 3: Cross multiply
    146,924.88x = 202,802.16 × 86,490.72
  4. Step 4: Simplify right side
    146,924.88x = 17,540,504,835.96
  5. Step 5: Solve for x
    x = 17,540,504,835.96/146,924.88
  6. Step 6: Final answer
    x = 119,384.17

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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.