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Finding the Fourth Proportional to 214,891.16, 322,225.47 and 96,460.52

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Solution

The fourth proportional to 214,891.16, 322,225.47 and 96,460.52 is: 144,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.16 : 322,225.47 = 96,460.52 : x
  2. Step 2: Convert to fraction form
    214,891.16/322,225.47 = 96,460.52/x
  3. Step 3: Cross multiply
    214,891.16x = 322,225.47 × 96,460.52
  4. Step 4: Simplify right side
    214,891.16x = 31,082,034,782.32
  5. Step 5: Solve for x
    x = 31,082,034,782.32/214,891.16
  6. Step 6: Final answer
    x = 144,640.83

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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.