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Finding the Fourth Proportional to 307,537.90, 461,307.93 and 149,631.10

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Solution

The fourth proportional to 307,537.90, 461,307.93 and 149,631.10 is: 224,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,537.90 : 461,307.93 = 149,631.10 : x
  2. Step 2: Convert to fraction form
    307,537.90/461,307.93 = 149,631.10/x
  3. Step 3: Cross multiply
    307,537.90x = 461,307.93 × 149,631.10
  4. Step 4: Simplify right side
    307,537.90x = 69,026,013,004.62
  5. Step 5: Solve for x
    x = 69,026,013,004.62/307,537.90
  6. Step 6: Final answer
    x = 224,447.18

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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.