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Finding the Fourth Proportional to 357,627.10, 536,107.14 and 120,804.16

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Solution

The fourth proportional to 357,627.10, 536,107.14 and 120,804.16 is: 181,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,627.10 : 536,107.14 = 120,804.16 : x
  2. Step 2: Convert to fraction form
    357,627.10/536,107.14 = 120,804.16/x
  3. Step 3: Cross multiply
    357,627.10x = 536,107.14 × 120,804.16
  4. Step 4: Simplify right side
    357,627.10x = 64,763,972,717.70
  5. Step 5: Solve for x
    x = 64,763,972,717.70/357,627.10
  6. Step 6: Final answer
    x = 181,093.58

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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.