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Finding the Fourth Proportional to 134,893.80, 202,340.70 and 46,150.20

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Solution

The fourth proportional to 134,893.80, 202,340.70 and 46,150.20 is: 69,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,893.80 : 202,340.70 = 46,150.20 : x
  2. Step 2: Convert to fraction form
    134,893.80/202,340.70 = 46,150.20/x
  3. Step 3: Cross multiply
    134,893.80x = 202,340.70 × 46,150.20
  4. Step 4: Simplify right side
    134,893.80x = 9,338,063,773.14
  5. Step 5: Solve for x
    x = 9,338,063,773.14/134,893.80
  6. Step 6: Final answer
    x = 69,225.30

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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.