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Finding the Fourth Proportional to 306,436.68, 459,655.03 and 96,091.56

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Solution

The fourth proportional to 306,436.68, 459,655.03 and 96,091.56 is: 144,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,436.68 : 459,655.03 = 96,091.56 : x
  2. Step 2: Convert to fraction form
    306,436.68/459,655.03 = 96,091.56/x
  3. Step 3: Cross multiply
    306,436.68x = 459,655.03 × 96,091.56
  4. Step 4: Simplify right side
    306,436.68x = 44,168,968,894.55
  5. Step 5: Solve for x
    x = 44,168,968,894.55/306,436.68
  6. Step 6: Final answer
    x = 144,137.34

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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.