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Finding the Fourth Proportional to 306,889.24, 460,038.60 and 157,200.03

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Solution

The fourth proportional to 306,889.24, 460,038.60 and 157,200.03 is: 235,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,889.24 : 460,038.60 = 157,200.03 : x
  2. Step 2: Convert to fraction form
    306,889.24/460,038.60 = 157,200.03/x
  3. Step 3: Cross multiply
    306,889.24x = 460,038.60 × 157,200.03
  4. Step 4: Simplify right side
    306,889.24x = 72,318,081,721.16
  5. Step 5: Solve for x
    x = 72,318,081,721.16/306,889.24
  6. Step 6: Final answer
    x = 235,648.80

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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.