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Finding the Fourth Proportional to 137,412.44, 207,054.65 and 112,999.31

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Solution

The fourth proportional to 137,412.44, 207,054.65 and 112,999.31 is: 170,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.44 : 207,054.65 = 112,999.31 : x
  2. Step 2: Convert to fraction form
    137,412.44/207,054.65 = 112,999.31/x
  3. Step 3: Cross multiply
    137,412.44x = 207,054.65 × 112,999.31
  4. Step 4: Simplify right side
    137,412.44x = 23,397,032,582.29
  5. Step 5: Solve for x
    x = 23,397,032,582.29/137,412.44
  6. Step 6: Final answer
    x = 170,268.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.