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Finding the Fourth Proportional to 306,124.16, 459,173.52 and 106,489.76

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Solution

The fourth proportional to 306,124.16, 459,173.52 and 106,489.76 is: 159,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,124.16 : 459,173.52 = 106,489.76 : x
  2. Step 2: Convert to fraction form
    306,124.16/459,173.52 = 106,489.76/x
  3. Step 3: Cross multiply
    306,124.16x = 459,173.52 × 106,489.76
  4. Step 4: Simplify right side
    306,124.16x = 48,897,277,943.16
  5. Step 5: Solve for x
    x = 48,897,277,943.16/306,124.16
  6. Step 6: Final answer
    x = 159,730.22

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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.