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Finding the Fourth Proportional to 142,092.30, 213,138.45 and 99,698.70

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Solution

The fourth proportional to 142,092.30, 213,138.45 and 99,698.70 is: 149,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.30 : 213,138.45 = 99,698.70 : x
  2. Step 2: Convert to fraction form
    142,092.30/213,138.45 = 99,698.70/x
  3. Step 3: Cross multiply
    142,092.30x = 213,138.45 × 99,698.70
  4. Step 4: Simplify right side
    142,092.30x = 21,249,626,385.02
  5. Step 5: Solve for x
    x = 21,249,626,385.02/142,092.30
  6. Step 6: Final answer
    x = 149,548.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.