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Finding the Fourth Proportional to 145,358.82, 200,538.23 and 107,209.95

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Solution

The fourth proportional to 145,358.82, 200,538.23 and 107,209.95 is: 147,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,358.82 : 200,538.23 = 107,209.95 : x
  2. Step 2: Convert to fraction form
    145,358.82/200,538.23 = 107,209.95/x
  3. Step 3: Cross multiply
    145,358.82x = 200,538.23 × 107,209.95
  4. Step 4: Simplify right side
    145,358.82x = 21,499,692,926.38
  5. Step 5: Solve for x
    x = 21,499,692,926.38/145,358.82
  6. Step 6: Final answer
    x = 147,907.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.