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Finding the Fourth Proportional to 201,501.66, 278,072.28 and 110,855.67

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Solution

The fourth proportional to 201,501.66, 278,072.28 and 110,855.67 is: 152,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,501.66 : 278,072.28 = 110,855.67 : x
  2. Step 2: Convert to fraction form
    201,501.66/278,072.28 = 110,855.67/x
  3. Step 3: Cross multiply
    201,501.66x = 278,072.28 × 110,855.67
  4. Step 4: Simplify right side
    201,501.66x = 30,825,888,907.83
  5. Step 5: Solve for x
    x = 30,825,888,907.83/201,501.66
  6. Step 6: Final answer
    x = 152,980.82

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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.