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Finding the Fourth Proportional to 200,582.67, 299,106.17 and 198,783.86

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Solution

The fourth proportional to 200,582.67, 299,106.17 and 198,783.86 is: 296,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,582.67 : 299,106.17 = 198,783.86 : x
  2. Step 2: Convert to fraction form
    200,582.67/299,106.17 = 198,783.86/x
  3. Step 3: Cross multiply
    200,582.67x = 299,106.17 × 198,783.86
  4. Step 4: Simplify right side
    200,582.67x = 59,457,480,267.14
  5. Step 5: Solve for x
    x = 59,457,480,267.14/200,582.67
  6. Step 6: Final answer
    x = 296,423.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.