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Finding the Fourth Proportional to 201,704.50, 278,362.45 and 114,495.74

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Solution

The fourth proportional to 201,704.50, 278,362.45 and 114,495.74 is: 158,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.50 : 278,362.45 = 114,495.74 : x
  2. Step 2: Convert to fraction form
    201,704.50/278,362.45 = 114,495.74/x
  3. Step 3: Cross multiply
    201,704.50x = 278,362.45 × 114,495.74
  4. Step 4: Simplify right side
    201,704.50x = 31,871,315,417.88
  5. Step 5: Solve for x
    x = 31,871,315,417.88/201,704.50
  6. Step 6: Final answer
    x = 158,009.93

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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.