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Finding the Fourth Proportional to 200,758.80, 301,188.72 and 141,709.68

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Solution

The fourth proportional to 200,758.80, 301,188.72 and 141,709.68 is: 212,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,758.80 : 301,188.72 = 141,709.68 : x
  2. Step 2: Convert to fraction form
    200,758.80/301,188.72 = 141,709.68/x
  3. Step 3: Cross multiply
    200,758.80x = 301,188.72 × 141,709.68
  4. Step 4: Simplify right side
    200,758.80x = 42,681,357,130.81
  5. Step 5: Solve for x
    x = 42,681,357,130.81/200,758.80
  6. Step 6: Final answer
    x = 212,600.18

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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.