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Finding the Fourth Proportional to 264,368.43, 364,828.64 and 143,509.68

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Solution

The fourth proportional to 264,368.43, 364,828.64 and 143,509.68 is: 198,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,368.43 : 364,828.64 = 143,509.68 : x
  2. Step 2: Convert to fraction form
    264,368.43/364,828.64 = 143,509.68/x
  3. Step 3: Cross multiply
    264,368.43x = 364,828.64 × 143,509.68
  4. Step 4: Simplify right side
    264,368.43x = 52,356,440,663.69
  5. Step 5: Solve for x
    x = 52,356,440,663.69/264,368.43
  6. Step 6: Final answer
    x = 198,043.47

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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.