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Finding the Fourth Proportional to 141,410.64, 212,071.14 and 47,894.52

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Solution

The fourth proportional to 141,410.64, 212,071.14 and 47,894.52 is: 71,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410.64 : 212,071.14 = 47,894.52 : x
  2. Step 2: Convert to fraction form
    141,410.64/212,071.14 = 47,894.52/x
  3. Step 3: Cross multiply
    141,410.64x = 212,071.14 × 47,894.52
  4. Step 4: Simplify right side
    141,410.64x = 10,157,045,456.15
  5. Step 5: Solve for x
    x = 10,157,045,456.15/141,410.64
  6. Step 6: Final answer
    x = 71,826.60

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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.