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Finding the Fourth Proportional to 190,697.20, 286,045.80 and 181,949.20

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Solution

The fourth proportional to 190,697.20, 286,045.80 and 181,949.20 is: 272,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,697.20 : 286,045.80 = 181,949.20 : x
  2. Step 2: Convert to fraction form
    190,697.20/286,045.80 = 181,949.20/x
  3. Step 3: Cross multiply
    190,697.20x = 286,045.80 × 181,949.20
  4. Step 4: Simplify right side
    190,697.20x = 52,045,804,473.36
  5. Step 5: Solve for x
    x = 52,045,804,473.36/190,697.20
  6. Step 6: Final answer
    x = 272,923.80

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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.