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Finding the Fourth Proportional to 132,477.48, 182,823.60 and 75,899.78

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Solution

The fourth proportional to 132,477.48, 182,823.60 and 75,899.78 is: 104,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,477.48 : 182,823.60 = 75,899.78 : x
  2. Step 2: Convert to fraction form
    132,477.48/182,823.60 = 75,899.78/x
  3. Step 3: Cross multiply
    132,477.48x = 182,823.60 × 75,899.78
  4. Step 4: Simplify right side
    132,477.48x = 13,876,271,018.81
  5. Step 5: Solve for x
    x = 13,876,271,018.81/132,477.48
  6. Step 6: Final answer
    x = 104,744.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.