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Finding the Fourth Proportional to 376,853.51, 565,390.22 and 152,099.16

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Solution

The fourth proportional to 376,853.51, 565,390.22 and 152,099.16 is: 228,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,853.51 : 565,390.22 = 152,099.16 : x
  2. Step 2: Convert to fraction form
    376,853.51/565,390.22 = 152,099.16/x
  3. Step 3: Cross multiply
    376,853.51x = 565,390.22 × 152,099.16
  4. Step 4: Simplify right side
    376,853.51x = 85,995,376,773.72
  5. Step 5: Solve for x
    x = 85,995,376,773.72/376,853.51
  6. Step 6: Final answer
    x = 228,193.12

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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.