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Finding the Fourth Proportional to 268,085.40, 370,101.52 and 206,697.52

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Solution

The fourth proportional to 268,085.40, 370,101.52 and 206,697.52 is: 285,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,085.40 : 370,101.52 = 206,697.52 : x
  2. Step 2: Convert to fraction form
    268,085.40/370,101.52 = 206,697.52/x
  3. Step 3: Cross multiply
    268,085.40x = 370,101.52 × 206,697.52
  4. Step 4: Simplify right side
    268,085.40x = 76,499,066,332.23
  5. Step 5: Solve for x
    x = 76,499,066,332.23/268,085.40
  6. Step 6: Final answer
    x = 285,353.35

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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.