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Finding the Fourth Proportional to 264,570.18, 365,096.34 and 143,709

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Solution

The fourth proportional to 264,570.18, 365,096.34 and 143,709 is: 198,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,570.18 : 365,096.34 = 143,709 : x
  2. Step 2: Convert to fraction form
    264,570.18/365,096.34 = 143,709/x
  3. Step 3: Cross multiply
    264,570.18x = 365,096.34 × 143,709
  4. Step 4: Simplify right side
    264,570.18x = 52,467,629,925.06
  5. Step 5: Solve for x
    x = 52,467,629,925.06/264,570.18
  6. Step 6: Final answer
    x = 198,312.71

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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.