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Finding the Fourth Proportional to 157,905.40, 217,906.81 and 86,283.77

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Solution

The fourth proportional to 157,905.40, 217,906.81 and 86,283.77 is: 119,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,905.40 : 217,906.81 = 86,283.77 : x
  2. Step 2: Convert to fraction form
    157,905.40/217,906.81 = 86,283.77/x
  3. Step 3: Cross multiply
    157,905.40x = 217,906.81 × 86,283.77
  4. Step 4: Simplify right side
    157,905.40x = 18,801,821,075.47
  5. Step 5: Solve for x
    x = 18,801,821,075.47/157,905.40
  6. Step 6: Final answer
    x = 119,070.16

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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.