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Finding the Fourth Proportional to 364,126.16, 545,468.34 and 171,737.12

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Solution

The fourth proportional to 364,126.16, 545,468.34 and 171,737.12 is: 257,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,126.16 : 545,468.34 = 171,737.12 : x
  2. Step 2: Convert to fraction form
    364,126.16/545,468.34 = 171,737.12/x
  3. Step 3: Cross multiply
    364,126.16x = 545,468.34 × 171,737.12
  4. Step 4: Simplify right side
    364,126.16x = 93,677,161,762.78
  5. Step 5: Solve for x
    x = 93,677,161,762.78/364,126.16
  6. Step 6: Final answer
    x = 257,265.67

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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.