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Finding the Fourth Proportional to 227,602.36, 314,016.34 and 147,077.32

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Solution

The fourth proportional to 227,602.36, 314,016.34 and 147,077.32 is: 202,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,602.36 : 314,016.34 = 147,077.32 : x
  2. Step 2: Convert to fraction form
    227,602.36/314,016.34 = 147,077.32/x
  3. Step 3: Cross multiply
    227,602.36x = 314,016.34 × 147,077.32
  4. Step 4: Simplify right side
    227,602.36x = 46,184,681,723.41
  5. Step 5: Solve for x
    x = 46,184,681,723.41/227,602.36
  6. Step 6: Final answer
    x = 202,918.29

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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.