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Finding the Fourth Proportional to 137,416.68, 206,114.94 and 43,897.32

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Solution

The fourth proportional to 137,416.68, 206,114.94 and 43,897.32 is: 65,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.68 : 206,114.94 = 43,897.32 : x
  2. Step 2: Convert to fraction form
    137,416.68/206,114.94 = 43,897.32/x
  3. Step 3: Cross multiply
    137,416.68x = 206,114.94 × 43,897.32
  4. Step 4: Simplify right side
    137,416.68x = 9,047,893,477.96
  5. Step 5: Solve for x
    x = 9,047,893,477.96/137,416.68
  6. Step 6: Final answer
    x = 65,842.76

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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.