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Finding the Fourth Proportional to 125,740.80, 188,546.40 and 46,814.40

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Solution

The fourth proportional to 125,740.80, 188,546.40 and 46,814.40 is: 70,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,740.80 : 188,546.40 = 46,814.40 : x
  2. Step 2: Convert to fraction form
    125,740.80/188,546.40 = 46,814.40/x
  3. Step 3: Cross multiply
    125,740.80x = 188,546.40 × 46,814.40
  4. Step 4: Simplify right side
    125,740.80x = 8,826,686,588.16
  5. Step 5: Solve for x
    x = 8,826,686,588.16/125,740.80
  6. Step 6: Final answer
    x = 70,197.47

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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.