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Finding the Fourth Proportional to 190,689.84, 264,357.63 and 180,578.61

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Solution

The fourth proportional to 190,689.84, 264,357.63 and 180,578.61 is: 250,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,689.84 : 264,357.63 = 180,578.61 : x
  2. Step 2: Convert to fraction form
    190,689.84/264,357.63 = 180,578.61/x
  3. Step 3: Cross multiply
    190,689.84x = 264,357.63 × 180,578.61
  4. Step 4: Simplify right side
    190,689.84x = 47,737,333,368.29
  5. Step 5: Solve for x
    x = 47,737,333,368.29/190,689.84
  6. Step 6: Final answer
    x = 250,340.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.