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Finding the Fourth Proportional to 264,706.96, 365,294.46 and 149,985.40

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Solution

The fourth proportional to 264,706.96, 365,294.46 and 149,985.40 is: 206,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,706.96 : 365,294.46 = 149,985.40 : x
  2. Step 2: Convert to fraction form
    264,706.96/365,294.46 = 149,985.40/x
  3. Step 3: Cross multiply
    264,706.96x = 365,294.46 × 149,985.40
  4. Step 4: Simplify right side
    264,706.96x = 54,788,835,700.88
  5. Step 5: Solve for x
    x = 54,788,835,700.88/264,706.96
  6. Step 6: Final answer
    x = 206,979.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.