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Finding the Fourth Proportional to 253,626.32, 380,017.08 and 164,768.72

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Solution

The fourth proportional to 253,626.32, 380,017.08 and 164,768.72 is: 246,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,626.32 : 380,017.08 = 164,768.72 : x
  2. Step 2: Convert to fraction form
    253,626.32/380,017.08 = 164,768.72/x
  3. Step 3: Cross multiply
    253,626.32x = 380,017.08 × 164,768.72
  4. Step 4: Simplify right side
    253,626.32x = 62,614,927,849.74
  5. Step 5: Solve for x
    x = 62,614,927,849.74/253,626.32
  6. Step 6: Final answer
    x = 246,878.67

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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.