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Finding the Fourth Proportional to 224,699.81, 309,558.38 and 156,592.98

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Solution

The fourth proportional to 224,699.81, 309,558.38 and 156,592.98 is: 215,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,699.81 : 309,558.38 = 156,592.98 : x
  2. Step 2: Convert to fraction form
    224,699.81/309,558.38 = 156,592.98/x
  3. Step 3: Cross multiply
    224,699.81x = 309,558.38 × 156,592.98
  4. Step 4: Simplify right side
    224,699.81x = 48,474,668,425.21
  5. Step 5: Solve for x
    x = 48,474,668,425.21/224,699.81
  6. Step 6: Final answer
    x = 215,730.80

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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.