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Finding the Fourth Proportional to 152,140.16, 228,020.16 and 73,233.44

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Solution

The fourth proportional to 152,140.16, 228,020.16 and 73,233.44 is: 109,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,140.16 : 228,020.16 = 73,233.44 : x
  2. Step 2: Convert to fraction form
    152,140.16/228,020.16 = 73,233.44/x
  3. Step 3: Cross multiply
    152,140.16x = 228,020.16 × 73,233.44
  4. Step 4: Simplify right side
    152,140.16x = 16,698,700,706.15
  5. Step 5: Solve for x
    x = 16,698,700,706.15/152,140.16
  6. Step 6: Final answer
    x = 109,758.66

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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.