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Finding the Fourth Proportional to 357,036.10, 535,180.47 and 120,296.98

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Solution

The fourth proportional to 357,036.10, 535,180.47 and 120,296.98 is: 180,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,036.10 : 535,180.47 = 120,296.98 : x
  2. Step 2: Convert to fraction form
    357,036.10/535,180.47 = 120,296.98/x
  3. Step 3: Cross multiply
    357,036.10x = 535,180.47 × 120,296.98
  4. Step 4: Simplify right side
    357,036.10x = 64,380,594,295.98
  5. Step 5: Solve for x
    x = 64,380,594,295.98/357,036.10
  6. Step 6: Final answer
    x = 180,319.57

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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.