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Finding the Fourth Proportional to 125,614.80, 188,357.40 and 46,688.40

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Solution

The fourth proportional to 125,614.80, 188,357.40 and 46,688.40 is: 70,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,614.80 : 188,357.40 = 46,688.40 : x
  2. Step 2: Convert to fraction form
    125,614.80/188,357.40 = 46,688.40/x
  3. Step 3: Cross multiply
    125,614.80x = 188,357.40 × 46,688.40
  4. Step 4: Simplify right side
    125,614.80x = 8,794,105,634.16
  5. Step 5: Solve for x
    x = 8,794,105,634.16/125,614.80
  6. Step 6: Final answer
    x = 70,008.52

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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.