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Finding the Fourth Proportional to 219,423.35, 328,602.96 and 151,765.50

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Solution

The fourth proportional to 219,423.35, 328,602.96 and 151,765.50 is: 227,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423.35 : 328,602.96 = 151,765.50 : x
  2. Step 2: Convert to fraction form
    219,423.35/328,602.96 = 151,765.50/x
  3. Step 3: Cross multiply
    219,423.35x = 328,602.96 × 151,765.50
  4. Step 4: Simplify right side
    219,423.35x = 49,870,592,525.88
  5. Step 5: Solve for x
    x = 49,870,592,525.88/219,423.35
  6. Step 6: Final answer
    x = 227,280.24

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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.