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Finding the Fourth Proportional to 165,886.68, 248,756.58 and 47,531.16

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Solution

The fourth proportional to 165,886.68, 248,756.58 and 47,531.16 is: 71,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,886.68 : 248,756.58 = 47,531.16 : x
  2. Step 2: Convert to fraction form
    165,886.68/248,756.58 = 47,531.16/x
  3. Step 3: Cross multiply
    165,886.68x = 248,756.58 × 47,531.16
  4. Step 4: Simplify right side
    165,886.68x = 11,823,688,805.03
  5. Step 5: Solve for x
    x = 11,823,688,805.03/165,886.68
  6. Step 6: Final answer
    x = 71,275.70

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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.