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Finding the Fourth Proportional to 125,633.60, 188,428.80 and 46,707.20

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Solution

The fourth proportional to 125,633.60, 188,428.80 and 46,707.20 is: 70,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,633.60 : 188,428.80 = 46,707.20 : x
  2. Step 2: Convert to fraction form
    125,633.60/188,428.80 = 46,707.20/x
  3. Step 3: Cross multiply
    125,633.60x = 188,428.80 × 46,707.20
  4. Step 4: Simplify right side
    125,633.60x = 8,800,981,647.36
  5. Step 5: Solve for x
    x = 8,800,981,647.36/125,633.60
  6. Step 6: Final answer
    x = 70,052.77

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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.