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Finding the Fourth Proportional to 157,842.30, 217,827.06 and 86,223.51

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Solution

The fourth proportional to 157,842.30, 217,827.06 and 86,223.51 is: 118,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.30 : 217,827.06 = 86,223.51 : x
  2. Step 2: Convert to fraction form
    157,842.30/217,827.06 = 86,223.51/x
  3. Step 3: Cross multiply
    157,842.30x = 217,827.06 × 86,223.51
  4. Step 4: Simplify right side
    157,842.30x = 18,781,813,686.18
  5. Step 5: Solve for x
    x = 18,781,813,686.18/157,842.30
  6. Step 6: Final answer
    x = 118,991.00

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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.