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Finding the Fourth Proportional to 306,888.59, 460,037.63 and 157,199.37

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Solution

The fourth proportional to 306,888.59, 460,037.63 and 157,199.37 is: 235,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,888.59 : 460,037.63 = 157,199.37 : x
  2. Step 2: Convert to fraction form
    306,888.59/460,037.63 = 157,199.37/x
  3. Step 3: Cross multiply
    306,888.59x = 460,037.63 × 157,199.37
  4. Step 4: Simplify right side
    306,888.59x = 72,317,624,826.30
  5. Step 5: Solve for x
    x = 72,317,624,826.30/306,888.59
  6. Step 6: Final answer
    x = 235,647.82

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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.