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Finding the Fourth Proportional to 145,438.95, 200,540.28 and 102,404.70

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Solution

The fourth proportional to 145,438.95, 200,540.28 and 102,404.70 is: 141,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438.95 : 200,540.28 = 102,404.70 : x
  2. Step 2: Convert to fraction form
    145,438.95/200,540.28 = 102,404.70/x
  3. Step 3: Cross multiply
    145,438.95x = 200,540.28 × 102,404.70
  4. Step 4: Simplify right side
    145,438.95x = 20,536,267,211.32
  5. Step 5: Solve for x
    x = 20,536,267,211.32/145,438.95
  6. Step 6: Final answer
    x = 141,201.98

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