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Finding the Fourth Proportional to 307,664.84, 461,475.38 and 83,038.07

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Solution

The fourth proportional to 307,664.84, 461,475.38 and 83,038.07 is: 124,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,664.84 : 461,475.38 = 83,038.07 : x
  2. Step 2: Convert to fraction form
    307,664.84/461,475.38 = 83,038.07/x
  3. Step 3: Cross multiply
    307,664.84x = 461,475.38 × 83,038.07
  4. Step 4: Simplify right side
    307,664.84x = 38,320,026,269.00
  5. Step 5: Solve for x
    x = 38,320,026,269.00/307,664.84
  6. Step 6: Final answer
    x = 124,551.20

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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.