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Finding the Fourth Proportional to 132,300.10, 182,568.90 and 78,583.70

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Solution

The fourth proportional to 132,300.10, 182,568.90 and 78,583.70 is: 108,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300.10 : 182,568.90 = 78,583.70 : x
  2. Step 2: Convert to fraction form
    132,300.10/182,568.90 = 78,583.70/x
  3. Step 3: Cross multiply
    132,300.10x = 182,568.90 × 78,583.70
  4. Step 4: Simplify right side
    132,300.10x = 14,346,939,666.93
  5. Step 5: Solve for x
    x = 14,346,939,666.93/132,300.10
  6. Step 6: Final answer
    x = 108,442.39

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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.