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Finding the Fourth Proportional to 142,156.64, 213,235.96 and 97,648.50

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Solution

The fourth proportional to 142,156.64, 213,235.96 and 97,648.50 is: 146,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,156.64 : 213,235.96 = 97,648.50 : x
  2. Step 2: Convert to fraction form
    142,156.64/213,235.96 = 97,648.50/x
  3. Step 3: Cross multiply
    142,156.64x = 213,235.96 × 97,648.50
  4. Step 4: Simplify right side
    142,156.64x = 20,822,171,640.06
  5. Step 5: Solve for x
    x = 20,822,171,640.06/142,156.64
  6. Step 6: Final answer
    x = 146,473.44

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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.