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Finding the Fourth Proportional to 307,866, 461,681.30 and 147,896.36

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Solution

The fourth proportional to 307,866, 461,681.30 and 147,896.36 is: 221,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866 : 461,681.30 = 147,896.36 : x
  2. Step 2: Convert to fraction form
    307,866/461,681.30 = 147,896.36/x
  3. Step 3: Cross multiply
    307,866x = 461,681.30 × 147,896.36
  4. Step 4: Simplify right side
    307,866x = 68,280,980,702.18
  5. Step 5: Solve for x
    x = 68,280,980,702.18/307,866
  6. Step 6: Final answer
    x = 221,787.99

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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.