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Finding the Fourth Proportional to 253,623.65, 380,266.64 and 152,193.32

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Solution

The fourth proportional to 253,623.65, 380,266.64 and 152,193.32 is: 228,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,623.65 : 380,266.64 = 152,193.32 : x
  2. Step 2: Convert to fraction form
    253,623.65/380,266.64 = 152,193.32/x
  3. Step 3: Cross multiply
    253,623.65x = 380,266.64 × 152,193.32
  4. Step 4: Simplify right side
    253,623.65x = 57,874,039,764.55
  5. Step 5: Solve for x
    x = 57,874,039,764.55/253,623.65
  6. Step 6: Final answer
    x = 228,188.66

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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.