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Finding the Fourth Proportional to 101,826.69, 152,678.64 and 45,656.64

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Solution

The fourth proportional to 101,826.69, 152,678.64 and 45,656.64 is: 68,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,826.69 : 152,678.64 = 45,656.64 : x
  2. Step 2: Convert to fraction form
    101,826.69/152,678.64 = 45,656.64/x
  3. Step 3: Cross multiply
    101,826.69x = 152,678.64 × 45,656.64
  4. Step 4: Simplify right side
    101,826.69x = 6,970,793,702.17
  5. Step 5: Solve for x
    x = 6,970,793,702.17/101,826.69
  6. Step 6: Final answer
    x = 68,457.43

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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.