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Finding the Fourth Proportional to 151,214, 226,853.78 and 46,030.22

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Solution

The fourth proportional to 151,214, 226,853.78 and 46,030.22 is: 69,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,214 : 226,853.78 = 46,030.22 : x
  2. Step 2: Convert to fraction form
    151,214/226,853.78 = 46,030.22/x
  3. Step 3: Cross multiply
    151,214x = 226,853.78 × 46,030.22
  4. Step 4: Simplify right side
    151,214x = 10,442,129,401.23
  5. Step 5: Solve for x
    x = 10,442,129,401.23/151,214
  6. Step 6: Final answer
    x = 69,055.31

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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.