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Finding the Fourth Proportional to 188,270.40, 282,403.80 and 46,116.30

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Solution

The fourth proportional to 188,270.40, 282,403.80 and 46,116.30 is: 69,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,270.40 : 282,403.80 = 46,116.30 : x
  2. Step 2: Convert to fraction form
    188,270.40/282,403.80 = 46,116.30/x
  3. Step 3: Cross multiply
    188,270.40x = 282,403.80 × 46,116.30
  4. Step 4: Simplify right side
    188,270.40x = 13,023,418,361.94
  5. Step 5: Solve for x
    x = 13,023,418,361.94/188,270.40
  6. Step 6: Final answer
    x = 69,174.01

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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.