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Finding the Fourth Proportional to 307,083.08, 460,641.12 and 96,737.48

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Solution

The fourth proportional to 307,083.08, 460,641.12 and 96,737.48 is: 145,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,083.08 : 460,641.12 = 96,737.48 : x
  2. Step 2: Convert to fraction form
    307,083.08/460,641.12 = 96,737.48/x
  3. Step 3: Cross multiply
    307,083.08x = 460,641.12 × 96,737.48
  4. Step 4: Simplify right side
    307,083.08x = 44,561,261,133.18
  5. Step 5: Solve for x
    x = 44,561,261,133.18/307,083.08
  6. Step 6: Final answer
    x = 145,111.42

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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.