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Finding the Fourth Proportional to 307,001.95, 460,293.79 and 157,120.00

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Solution

The fourth proportional to 307,001.95, 460,293.79 and 157,120.00 is: 235,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,001.95 : 460,293.79 = 157,120.00 : x
  2. Step 2: Convert to fraction form
    307,001.95/460,293.79 = 157,120.00/x
  3. Step 3: Cross multiply
    307,001.95x = 460,293.79 × 157,120.00
  4. Step 4: Simplify right side
    307,001.95x = 72,321,361,625.02
  5. Step 5: Solve for x
    x = 72,321,361,625.02/307,001.95
  6. Step 6: Final answer
    x = 235,572.97

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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.