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Finding the Fourth Proportional to 353,031.02, 529,925.70 and 142,806.86

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Solution

The fourth proportional to 353,031.02, 529,925.70 and 142,806.86 is: 214,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,031.02 : 529,925.70 = 142,806.86 : x
  2. Step 2: Convert to fraction form
    353,031.02/529,925.70 = 142,806.86/x
  3. Step 3: Cross multiply
    353,031.02x = 529,925.70 × 142,806.86
  4. Step 4: Simplify right side
    353,031.02x = 75,677,025,250.30
  5. Step 5: Solve for x
    x = 75,677,025,250.30/353,031.02
  6. Step 6: Final answer
    x = 214,363.67

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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.