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Finding the Fourth Proportional to 151,698.19, 208,851.47 and 119,375.83

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Solution

The fourth proportional to 151,698.19, 208,851.47 and 119,375.83 is: 164,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,698.19 : 208,851.47 = 119,375.83 : x
  2. Step 2: Convert to fraction form
    151,698.19/208,851.47 = 119,375.83/x
  3. Step 3: Cross multiply
    151,698.19x = 208,851.47 × 119,375.83
  4. Step 4: Simplify right side
    151,698.19x = 24,931,816,981.09
  5. Step 5: Solve for x
    x = 24,931,816,981.09/151,698.19
  6. Step 6: Final answer
    x = 164,351.45

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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.