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Finding the Fourth Proportional to 311,035.34, 466,275.16 and 121,451.60

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Solution

The fourth proportional to 311,035.34, 466,275.16 and 121,451.60 is: 182,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,035.34 : 466,275.16 = 121,451.60 : x
  2. Step 2: Convert to fraction form
    311,035.34/466,275.16 = 121,451.60/x
  3. Step 3: Cross multiply
    311,035.34x = 466,275.16 × 121,451.60
  4. Step 4: Simplify right side
    311,035.34x = 56,629,864,222.26
  5. Step 5: Solve for x
    x = 56,629,864,222.26/311,035.34
  6. Step 6: Final answer
    x = 182,068.91

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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.