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Finding the Fourth Proportional to 200,815.16, 301,075.11 and 95,707.94

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Solution

The fourth proportional to 200,815.16, 301,075.11 and 95,707.94 is: 143,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,815.16 : 301,075.11 = 95,707.94 : x
  2. Step 2: Convert to fraction form
    200,815.16/301,075.11 = 95,707.94/x
  3. Step 3: Cross multiply
    200,815.16x = 301,075.11 × 95,707.94
  4. Step 4: Simplify right side
    200,815.16x = 28,815,277,058.00
  5. Step 5: Solve for x
    x = 28,815,277,058.00/200,815.16
  6. Step 6: Final answer
    x = 143,491.55

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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.