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Finding the Fourth Proportional to 307,758.50, 461,697.60 and 118,205

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Solution

The fourth proportional to 307,758.50, 461,697.60 and 118,205 is: 177,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,758.50 : 461,697.60 = 118,205 : x
  2. Step 2: Convert to fraction form
    307,758.50/461,697.60 = 118,205/x
  3. Step 3: Cross multiply
    307,758.50x = 461,697.60 × 118,205
  4. Step 4: Simplify right side
    307,758.50x = 54,574,964,808
  5. Step 5: Solve for x
    x = 54,574,964,808/307,758.50
  6. Step 6: Final answer
    x = 177,330.49

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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.