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Finding the Fourth Proportional to 402,804.40, 604,187.40 and 136,538.80

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Solution

The fourth proportional to 402,804.40, 604,187.40 and 136,538.80 is: 204,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,804.40 : 604,187.40 = 136,538.80 : x
  2. Step 2: Convert to fraction form
    402,804.40/604,187.40 = 136,538.80/x
  3. Step 3: Cross multiply
    402,804.40x = 604,187.40 × 136,538.80
  4. Step 4: Simplify right side
    402,804.40x = 82,495,022,571.12
  5. Step 5: Solve for x
    x = 82,495,022,571.12/402,804.40
  6. Step 6: Final answer
    x = 204,801.69

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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.