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Finding the Fourth Proportional to 205,009.38, 282,925.51 and 114,365.52

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Solution

The fourth proportional to 205,009.38, 282,925.51 and 114,365.52 is: 157,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.38 : 282,925.51 = 114,365.52 : x
  2. Step 2: Convert to fraction form
    205,009.38/282,925.51 = 114,365.52/x
  3. Step 3: Cross multiply
    205,009.38x = 282,925.51 × 114,365.52
  4. Step 4: Simplify right side
    205,009.38x = 32,356,922,786.50
  5. Step 5: Solve for x
    x = 32,356,922,786.50/205,009.38
  6. Step 6: Final answer
    x = 157,831.43

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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.