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Finding the Fourth Proportional to 113,477.76, 170,227.92 and 43,416

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Solution

The fourth proportional to 113,477.76, 170,227.92 and 43,416 is: 65,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,477.76 : 170,227.92 = 43,416 : x
  2. Step 2: Convert to fraction form
    113,477.76/170,227.92 = 43,416/x
  3. Step 3: Cross multiply
    113,477.76x = 170,227.92 × 43,416
  4. Step 4: Simplify right side
    113,477.76x = 7,390,615,374.72
  5. Step 5: Solve for x
    x = 7,390,615,374.72/113,477.76
  6. Step 6: Final answer
    x = 65,128.32

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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.