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Finding the Fourth Proportional to 141,647.40, 212,471.10 and 97,410.60

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Solution

The fourth proportional to 141,647.40, 212,471.10 and 97,410.60 is: 146,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,647.40 : 212,471.10 = 97,410.60 : x
  2. Step 2: Convert to fraction form
    141,647.40/212,471.10 = 97,410.60/x
  3. Step 3: Cross multiply
    141,647.40x = 212,471.10 × 97,410.60
  4. Step 4: Simplify right side
    141,647.40x = 20,696,937,333.66
  5. Step 5: Solve for x
    x = 20,696,937,333.66/141,647.40
  6. Step 6: Final answer
    x = 146,115.90

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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.