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Finding the Fourth Proportional to 307,518.57, 461,275.11 and 97,156.50

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Solution

The fourth proportional to 307,518.57, 461,275.11 and 97,156.50 is: 145,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,518.57 : 461,275.11 = 97,156.50 : x
  2. Step 2: Convert to fraction form
    307,518.57/461,275.11 = 97,156.50/x
  3. Step 3: Cross multiply
    307,518.57x = 461,275.11 × 97,156.50
  4. Step 4: Simplify right side
    307,518.57x = 44,815,875,224.72
  5. Step 5: Solve for x
    x = 44,815,875,224.72/307,518.57
  6. Step 6: Final answer
    x = 145,733.88

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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.