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Finding the Fourth Proportional to 194,294.90, 291,135.36 and 146,684.72

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Solution

The fourth proportional to 194,294.90, 291,135.36 and 146,684.72 is: 219,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.90 : 291,135.36 = 146,684.72 : x
  2. Step 2: Convert to fraction form
    194,294.90/291,135.36 = 146,684.72/x
  3. Step 3: Cross multiply
    194,294.90x = 291,135.36 × 146,684.72
  4. Step 4: Simplify right side
    194,294.90x = 42,705,108,763.70
  5. Step 5: Solve for x
    x = 42,705,108,763.70/194,294.90
  6. Step 6: Final answer
    x = 219,795.32

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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.