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Finding the Fourth Proportional to 159,029.96, 219,461.82 and 87,417.32

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Solution

The fourth proportional to 159,029.96, 219,461.82 and 87,417.32 is: 120,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.96 : 219,461.82 = 87,417.32 : x
  2. Step 2: Convert to fraction form
    159,029.96/219,461.82 = 87,417.32/x
  3. Step 3: Cross multiply
    159,029.96x = 219,461.82 × 87,417.32
  4. Step 4: Simplify right side
    159,029.96x = 19,184,764,146.72
  5. Step 5: Solve for x
    x = 19,184,764,146.72/159,029.96
  6. Step 6: Final answer
    x = 120,636.16

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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.