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Finding the Fourth Proportional to 264,569.47, 365,112.66 and 143,717.67

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Solution

The fourth proportional to 264,569.47, 365,112.66 and 143,717.67 is: 198,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,569.47 : 365,112.66 = 143,717.67 : x
  2. Step 2: Convert to fraction form
    264,569.47/365,112.66 = 143,717.67/x
  3. Step 3: Cross multiply
    264,569.47x = 365,112.66 × 143,717.67
  4. Step 4: Simplify right side
    264,569.47x = 52,473,140,782.70
  5. Step 5: Solve for x
    x = 52,473,140,782.70/264,569.47
  6. Step 6: Final answer
    x = 198,334.07

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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.