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Finding the Fourth Proportional to 106,436.63, 159,654.95 and 43,291.10

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Solution

The fourth proportional to 106,436.63, 159,654.95 and 43,291.10 is: 64,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.63 : 159,654.95 = 43,291.10 : x
  2. Step 2: Convert to fraction form
    106,436.63/159,654.95 = 43,291.10/x
  3. Step 3: Cross multiply
    106,436.63x = 159,654.95 × 43,291.10
  4. Step 4: Simplify right side
    106,436.63x = 6,911,637,391.21
  5. Step 5: Solve for x
    x = 6,911,637,391.21/106,436.63
  6. Step 6: Final answer
    x = 64,936.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.