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Finding the Fourth Proportional to 165,898.68, 248,774.82 and 47,543.16

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Solution

The fourth proportional to 165,898.68, 248,774.82 and 47,543.16 is: 71,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898.68 : 248,774.82 = 47,543.16 : x
  2. Step 2: Convert to fraction form
    165,898.68/248,774.82 = 47,543.16/x
  3. Step 3: Cross multiply
    165,898.68x = 248,774.82 × 47,543.16
  4. Step 4: Simplify right side
    165,898.68x = 11,827,541,071.23
  5. Step 5: Solve for x
    x = 11,827,541,071.23/165,898.68
  6. Step 6: Final answer
    x = 71,293.76

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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.