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Finding the Fourth Proportional to 227,530.94, 314,055.16 and 132,068.39

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Solution

The fourth proportional to 227,530.94, 314,055.16 and 132,068.39 is: 182,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,530.94 : 314,055.16 = 132,068.39 : x
  2. Step 2: Convert to fraction form
    227,530.94/314,055.16 = 132,068.39/x
  3. Step 3: Cross multiply
    227,530.94x = 314,055.16 × 132,068.39
  4. Step 4: Simplify right side
    227,530.94x = 41,476,759,218.51
  5. Step 5: Solve for x
    x = 41,476,759,218.51/227,530.94
  6. Step 6: Final answer
    x = 182,290.63

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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.