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Finding the Fourth Proportional to 264,656.16, 397,042.56 and 146,499.84

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Solution

The fourth proportional to 264,656.16, 397,042.56 and 146,499.84 is: 219,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,656.16 : 397,042.56 = 146,499.84 : x
  2. Step 2: Convert to fraction form
    264,656.16/397,042.56 = 146,499.84/x
  3. Step 3: Cross multiply
    264,656.16x = 397,042.56 × 146,499.84
  4. Step 4: Simplify right side
    264,656.16x = 58,166,671,513.19
  5. Step 5: Solve for x
    x = 58,166,671,513.19/264,656.16
  6. Step 6: Final answer
    x = 219,782.04

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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.