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Finding the Fourth Proportional to 125,838.18, 188,789.94 and 46,953

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Solution

The fourth proportional to 125,838.18, 188,789.94 and 46,953 is: 70,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,838.18 : 188,789.94 = 46,953 : x
  2. Step 2: Convert to fraction form
    125,838.18/188,789.94 = 46,953/x
  3. Step 3: Cross multiply
    125,838.18x = 188,789.94 × 46,953
  4. Step 4: Simplify right side
    125,838.18x = 8,864,254,052.82
  5. Step 5: Solve for x
    x = 8,864,254,052.82/125,838.18
  6. Step 6: Final answer
    x = 70,441.69

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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.