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Finding the Fourth Proportional to 215,814.40, 323,644.80 and 97,542.40

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Solution

The fourth proportional to 215,814.40, 323,644.80 and 97,542.40 is: 146,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,814.40 : 323,644.80 = 97,542.40 : x
  2. Step 2: Convert to fraction form
    215,814.40/323,644.80 = 97,542.40/x
  3. Step 3: Cross multiply
    215,814.40x = 323,644.80 × 97,542.40
  4. Step 4: Simplify right side
    215,814.40x = 31,569,090,539.52
  5. Step 5: Solve for x
    x = 31,569,090,539.52/215,814.40
  6. Step 6: Final answer
    x = 146,278.89

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1.5x scale

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.