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Finding the Fourth Proportional to 537,852.60, 806,779.44 and 138,494.25

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Solution

The fourth proportional to 537,852.60, 806,779.44 and 138,494.25 is: 207,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,852.60 : 806,779.44 = 138,494.25 : x
  2. Step 2: Convert to fraction form
    537,852.60/806,779.44 = 138,494.25/x
  3. Step 3: Cross multiply
    537,852.60x = 806,779.44 × 138,494.25
  4. Step 4: Simplify right side
    537,852.60x = 111,734,313,458.22
  5. Step 5: Solve for x
    x = 111,734,313,458.22/537,852.60
  6. Step 6: Final answer
    x = 207,741.51

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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.