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Finding the Fourth Proportional to 207,077.80, 310,616.70 and 183,458.20

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Solution

The fourth proportional to 207,077.80, 310,616.70 and 183,458.20 is: 275,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,077.80 : 310,616.70 = 183,458.20 : x
  2. Step 2: Convert to fraction form
    207,077.80/310,616.70 = 183,458.20/x
  3. Step 3: Cross multiply
    207,077.80x = 310,616.70 × 183,458.20
  4. Step 4: Simplify right side
    207,077.80x = 56,985,180,671.94
  5. Step 5: Solve for x
    x = 56,985,180,671.94/207,077.80
  6. Step 6: Final answer
    x = 275,187.30

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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.