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Finding the Fourth Proportional to 286,080.66, 428,984.10 and 106,042.50

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Solution

The fourth proportional to 286,080.66, 428,984.10 and 106,042.50 is: 159,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,080.66 : 428,984.10 = 106,042.50 : x
  2. Step 2: Convert to fraction form
    286,080.66/428,984.10 = 106,042.50/x
  3. Step 3: Cross multiply
    286,080.66x = 428,984.10 × 106,042.50
  4. Step 4: Simplify right side
    286,080.66x = 45,490,546,424.25
  5. Step 5: Solve for x
    x = 45,490,546,424.25/286,080.66
  6. Step 6: Final answer
    x = 159,013.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.