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Finding the Fourth Proportional to 154,810.51, 213,640.95 and 86,842.60

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Solution

The fourth proportional to 154,810.51, 213,640.95 and 86,842.60 is: 119,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,810.51 : 213,640.95 = 86,842.60 : x
  2. Step 2: Convert to fraction form
    154,810.51/213,640.95 = 86,842.60/x
  3. Step 3: Cross multiply
    154,810.51x = 213,640.95 × 86,842.60
  4. Step 4: Simplify right side
    154,810.51x = 18,553,135,564.47
  5. Step 5: Solve for x
    x = 18,553,135,564.47/154,810.51
  6. Step 6: Final answer
    x = 119,844.16

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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.