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Finding the Fourth Proportional to 355,883.84, 533,825.76 and 156,205.96

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Solution

The fourth proportional to 355,883.84, 533,825.76 and 156,205.96 is: 234,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,883.84 : 533,825.76 = 156,205.96 : x
  2. Step 2: Convert to fraction form
    355,883.84/533,825.76 = 156,205.96/x
  3. Step 3: Cross multiply
    355,883.84x = 533,825.76 × 156,205.96
  4. Step 4: Simplify right side
    355,883.84x = 83,386,762,644.40
  5. Step 5: Solve for x
    x = 83,386,762,644.40/355,883.84
  6. Step 6: Final answer
    x = 234,308.93

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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.