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Finding the Fourth Proportional to 202,646.88, 304,023.15 and 118,478.97

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Solution

The fourth proportional to 202,646.88, 304,023.15 and 118,478.97 is: 177,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.88 : 304,023.15 = 118,478.97 : x
  2. Step 2: Convert to fraction form
    202,646.88/304,023.15 = 118,478.97/x
  3. Step 3: Cross multiply
    202,646.88x = 304,023.15 × 118,478.97
  4. Step 4: Simplify right side
    202,646.88x = 36,020,349,668.16
  5. Step 5: Solve for x
    x = 36,020,349,668.16/202,646.88
  6. Step 6: Final answer
    x = 177,749.34

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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.