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Finding the Fourth Proportional to 289,196, 399,033.76 and 181,703.76

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Solution

The fourth proportional to 289,196, 399,033.76 and 181,703.76 is: 250,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,196 : 399,033.76 = 181,703.76 : x
  2. Step 2: Convert to fraction form
    289,196/399,033.76 = 181,703.76/x
  3. Step 3: Cross multiply
    289,196x = 399,033.76 × 181,703.76
  4. Step 4: Simplify right side
    289,196x = 72,505,934,558.94
  5. Step 5: Solve for x
    x = 72,505,934,558.94/289,196
  6. Step 6: Final answer
    x = 250,715.55

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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.