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Finding the Fourth Proportional to 215,927.40, 323,814.30 and 97,655.40

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Solution

The fourth proportional to 215,927.40, 323,814.30 and 97,655.40 is: 146,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,927.40 : 323,814.30 = 97,655.40 : x
  2. Step 2: Convert to fraction form
    215,927.40/323,814.30 = 97,655.40/x
  3. Step 3: Cross multiply
    215,927.40x = 323,814.30 × 97,655.40
  4. Step 4: Simplify right side
    215,927.40x = 31,622,214,992.22
  5. Step 5: Solve for x
    x = 31,622,214,992.22/215,927.40
  6. Step 6: Final answer
    x = 146,448.37

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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.