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Finding the Fourth Proportional to 307,519.07, 461,275.86 and 97,157

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Solution

The fourth proportional to 307,519.07, 461,275.86 and 97,157 is: 145,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,519.07 : 461,275.86 = 97,157 : x
  2. Step 2: Convert to fraction form
    307,519.07/461,275.86 = 97,157/x
  3. Step 3: Cross multiply
    307,519.07x = 461,275.86 × 97,157
  4. Step 4: Simplify right side
    307,519.07x = 44,816,178,730.02
  5. Step 5: Solve for x
    x = 44,816,178,730.02/307,519.07
  6. Step 6: Final answer
    x = 145,734.63

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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.