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Finding the Fourth Proportional to 205,072.40, 307,277.40 and 116,061.20

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Solution

The fourth proportional to 205,072.40, 307,277.40 and 116,061.20 is: 173,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072.40 : 307,277.40 = 116,061.20 : x
  2. Step 2: Convert to fraction form
    205,072.40/307,277.40 = 116,061.20/x
  3. Step 3: Cross multiply
    205,072.40x = 307,277.40 × 116,061.20
  4. Step 4: Simplify right side
    205,072.40x = 35,662,983,776.88
  5. Step 5: Solve for x
    x = 35,662,983,776.88/205,072.40
  6. Step 6: Final answer
    x = 173,904.36

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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.