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Finding the Fourth Proportional to 309,308.76, 463,980.60 and 96,106.95

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Solution

The fourth proportional to 309,308.76, 463,980.60 and 96,106.95 is: 144,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,308.76 : 463,980.60 = 96,106.95 : x
  2. Step 2: Convert to fraction form
    309,308.76/463,980.60 = 96,106.95/x
  3. Step 3: Cross multiply
    309,308.76x = 463,980.60 × 96,106.95
  4. Step 4: Simplify right side
    309,308.76x = 44,591,760,325.17
  5. Step 5: Solve for x
    x = 44,591,760,325.17/309,308.76
  6. Step 6: Final answer
    x = 144,165.85

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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.