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Finding the Fourth Proportional to 280,816.49, 387,465.71 and 166,101.45

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Solution

The fourth proportional to 280,816.49, 387,465.71 and 166,101.45 is: 229,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,816.49 : 387,465.71 = 166,101.45 : x
  2. Step 2: Convert to fraction form
    280,816.49/387,465.71 = 166,101.45/x
  3. Step 3: Cross multiply
    280,816.49x = 387,465.71 × 166,101.45
  4. Step 4: Simplify right side
    280,816.49x = 64,358,615,425.77
  5. Step 5: Solve for x
    x = 64,358,615,425.77/280,816.49
  6. Step 6: Final answer
    x = 229,183.89

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