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Finding the Fourth Proportional to 219,902.60, 329,853.90 and 194,533.40

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Solution

The fourth proportional to 219,902.60, 329,853.90 and 194,533.40 is: 291,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,902.60 : 329,853.90 = 194,533.40 : x
  2. Step 2: Convert to fraction form
    219,902.60/329,853.90 = 194,533.40/x
  3. Step 3: Cross multiply
    219,902.60x = 329,853.90 × 194,533.40
  4. Step 4: Simplify right side
    219,902.60x = 64,167,600,670.26
  5. Step 5: Solve for x
    x = 64,167,600,670.26/219,902.60
  6. Step 6: Final answer
    x = 291,800.10

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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.