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Finding the Fourth Proportional to 224,688.82, 309,543.15 and 156,581.98

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Solution

The fourth proportional to 224,688.82, 309,543.15 and 156,581.98 is: 215,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,688.82 : 309,543.15 = 156,581.98 : x
  2. Step 2: Convert to fraction form
    224,688.82/309,543.15 = 156,581.98/x
  3. Step 3: Cross multiply
    224,688.82x = 309,543.15 × 156,581.98
  4. Step 4: Simplify right side
    224,688.82x = 48,468,879,322.44
  5. Step 5: Solve for x
    x = 48,468,879,322.44/224,688.82
  6. Step 6: Final answer
    x = 215,715.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.