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Finding the Fourth Proportional to 107,573.76, 161,339.32 and 102,239.48

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Solution

The fourth proportional to 107,573.76, 161,339.32 and 102,239.48 is: 153,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,573.76 : 161,339.32 = 102,239.48 : x
  2. Step 2: Convert to fraction form
    107,573.76/161,339.32 = 102,239.48/x
  3. Step 3: Cross multiply
    107,573.76x = 161,339.32 × 102,239.48
  4. Step 4: Simplify right side
    107,573.76x = 16,495,248,180.35
  5. Step 5: Solve for x
    x = 16,495,248,180.35/107,573.76
  6. Step 6: Final answer
    x = 153,338.96

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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.