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Finding the Fourth Proportional to 355,487.40, 533,307.90 and 106,194.60

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Solution

The fourth proportional to 355,487.40, 533,307.90 and 106,194.60 is: 159,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,487.40 : 533,307.90 = 106,194.60 : x
  2. Step 2: Convert to fraction form
    355,487.40/533,307.90 = 106,194.60/x
  3. Step 3: Cross multiply
    355,487.40x = 533,307.90 × 106,194.60
  4. Step 4: Simplify right side
    355,487.40x = 56,634,419,117.34
  5. Step 5: Solve for x
    x = 56,634,419,117.34/355,487.40
  6. Step 6: Final answer
    x = 159,314.84

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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.