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Finding the Fourth Proportional to 201,490.81, 278,048.54 and 110,841.02

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Solution

The fourth proportional to 201,490.81, 278,048.54 and 110,841.02 is: 152,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,490.81 : 278,048.54 = 110,841.02 : x
  2. Step 2: Convert to fraction form
    201,490.81/278,048.54 = 110,841.02/x
  3. Step 3: Cross multiply
    201,490.81x = 278,048.54 × 110,841.02
  4. Step 4: Simplify right side
    201,490.81x = 30,819,183,783.11
  5. Step 5: Solve for x
    x = 30,819,183,783.11/201,490.81
  6. Step 6: Final answer
    x = 152,955.78

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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.