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Finding the Fourth Proportional to 264,364.32, 364,823.22 and 143,505.69

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Solution

The fourth proportional to 264,364.32, 364,823.22 and 143,505.69 is: 198,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,364.32 : 364,823.22 = 143,505.69 : x
  2. Step 2: Convert to fraction form
    264,364.32/364,823.22 = 143,505.69/x
  3. Step 3: Cross multiply
    264,364.32x = 364,823.22 × 143,505.69
  4. Step 4: Simplify right side
    264,364.32x = 52,354,207,914.12
  5. Step 5: Solve for x
    x = 52,354,207,914.12/264,364.32
  6. Step 6: Final answer
    x = 198,038.10

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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.