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Finding the Fourth Proportional to 202,779.66, 304,255.29 and 109,176.06

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Solution

The fourth proportional to 202,779.66, 304,255.29 and 109,176.06 is: 163,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,779.66 : 304,255.29 = 109,176.06 : x
  2. Step 2: Convert to fraction form
    202,779.66/304,255.29 = 109,176.06/x
  3. Step 3: Cross multiply
    202,779.66x = 304,255.29 × 109,176.06
  4. Step 4: Simplify right side
    202,779.66x = 33,217,393,796.36
  5. Step 5: Solve for x
    x = 33,217,393,796.36/202,779.66
  6. Step 6: Final answer
    x = 163,810.28

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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.