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Finding the Fourth Proportional to 200,051.40, 300,077.10 and 183,721.80

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Solution

The fourth proportional to 200,051.40, 300,077.10 and 183,721.80 is: 275,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,051.40 : 300,077.10 = 183,721.80 : x
  2. Step 2: Convert to fraction form
    200,051.40/300,077.10 = 183,721.80/x
  3. Step 3: Cross multiply
    200,051.40x = 300,077.10 × 183,721.80
  4. Step 4: Simplify right side
    200,051.40x = 55,130,704,950.78
  5. Step 5: Solve for x
    x = 55,130,704,950.78/200,051.40
  6. Step 6: Final answer
    x = 275,582.70

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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.