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Finding the Fourth Proportional to 307,312.77, 461,031.12 and 129,819.50

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Solution

The fourth proportional to 307,312.77, 461,031.12 and 129,819.50 is: 194,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,312.77 : 461,031.12 = 129,819.50 : x
  2. Step 2: Convert to fraction form
    307,312.77/461,031.12 = 129,819.50/x
  3. Step 3: Cross multiply
    307,312.77x = 461,031.12 × 129,819.50
  4. Step 4: Simplify right side
    307,312.77x = 59,850,829,482.84
  5. Step 5: Solve for x
    x = 59,850,829,482.84/307,312.77
  6. Step 6: Final answer
    x = 194,755.43

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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.