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Finding the Fourth Proportional to 306,887.09, 460,035.38 and 157,197.87

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Solution

The fourth proportional to 306,887.09, 460,035.38 and 157,197.87 is: 235,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,887.09 : 460,035.38 = 157,197.87 : x
  2. Step 2: Convert to fraction form
    306,887.09/460,035.38 = 157,197.87/x
  3. Step 3: Cross multiply
    306,887.09x = 460,035.38 × 157,197.87
  4. Step 4: Simplify right side
    306,887.09x = 72,316,581,074.65
  5. Step 5: Solve for x
    x = 72,316,581,074.65/306,887.09
  6. Step 6: Final answer
    x = 235,645.57

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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.