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Finding the Fourth Proportional to 355,184.84, 532,974.09 and 144,806.51

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Solution

The fourth proportional to 355,184.84, 532,974.09 and 144,806.51 is: 217,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,184.84 : 532,974.09 = 144,806.51 : x
  2. Step 2: Convert to fraction form
    355,184.84/532,974.09 = 144,806.51/x
  3. Step 3: Cross multiply
    355,184.84x = 532,974.09 × 144,806.51
  4. Step 4: Simplify right side
    355,184.84x = 77,178,117,893.33
  5. Step 5: Solve for x
    x = 77,178,117,893.33/355,184.84
  6. Step 6: Final answer
    x = 217,290.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.