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Finding the Fourth Proportional to 338,159.26, 507,460.38 and 127,797.22

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Solution

The fourth proportional to 338,159.26, 507,460.38 and 127,797.22 is: 191,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,159.26 : 507,460.38 = 127,797.22 : x
  2. Step 2: Convert to fraction form
    338,159.26/507,460.38 = 127,797.22/x
  3. Step 3: Cross multiply
    338,159.26x = 507,460.38 × 127,797.22
  4. Step 4: Simplify right side
    338,159.26x = 64,852,025,824.14
  5. Step 5: Solve for x
    x = 64,852,025,824.14/338,159.26
  6. Step 6: Final answer
    x = 191,779.54

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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.