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Finding the Fourth Proportional to 306,537.64, 459,675.23 and 96,191.98

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Solution

The fourth proportional to 306,537.64, 459,675.23 and 96,191.98 is: 144,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,537.64 : 459,675.23 = 96,191.98 : x
  2. Step 2: Convert to fraction form
    306,537.64/459,675.23 = 96,191.98/x
  3. Step 3: Cross multiply
    306,537.64x = 459,675.23 × 96,191.98
  4. Step 4: Simplify right side
    306,537.64x = 44,217,068,900.51
  5. Step 5: Solve for x
    x = 44,217,068,900.51/306,537.64
  6. Step 6: Final answer
    x = 144,246.79

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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.