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Finding the Fourth Proportional to 164,115.81, 246,075.30 and 75,258

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Solution

The fourth proportional to 164,115.81, 246,075.30 and 75,258 is: 112,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,115.81 : 246,075.30 = 75,258 : x
  2. Step 2: Convert to fraction form
    164,115.81/246,075.30 = 75,258/x
  3. Step 3: Cross multiply
    164,115.81x = 246,075.30 × 75,258
  4. Step 4: Simplify right side
    164,115.81x = 18,519,134,927.40
  5. Step 5: Solve for x
    x = 18,519,134,927.40/164,115.81
  6. Step 6: Final answer
    x = 112,841.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.