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Finding the Fourth Proportional to 202,779.64, 304,065.14 and 118,558.36

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Solution

The fourth proportional to 202,779.64, 304,065.14 and 118,558.36 is: 177,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,779.64 : 304,065.14 = 118,558.36 : x
  2. Step 2: Convert to fraction form
    202,779.64/304,065.14 = 118,558.36/x
  3. Step 3: Cross multiply
    202,779.64x = 304,065.14 × 118,558.36
  4. Step 4: Simplify right side
    202,779.64x = 36,049,464,331.57
  5. Step 5: Solve for x
    x = 36,049,464,331.57/202,779.64
  6. Step 6: Final answer
    x = 177,776.55

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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.