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Finding the Fourth Proportional to 209,062.95, 288,359.89 and 128,534.77

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Solution

The fourth proportional to 209,062.95, 288,359.89 and 128,534.77 is: 177,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.95 : 288,359.89 = 128,534.77 : x
  2. Step 2: Convert to fraction form
    209,062.95/288,359.89 = 128,534.77/x
  3. Step 3: Cross multiply
    209,062.95x = 288,359.89 × 128,534.77
  4. Step 4: Simplify right side
    209,062.95x = 37,064,272,138.38
  5. Step 5: Solve for x
    x = 37,064,272,138.38/209,062.95
  6. Step 6: Final answer
    x = 177,287.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.