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Finding the Fourth Proportional to 190,402.74, 285,775.43 and 101,732.04

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Solution

The fourth proportional to 190,402.74, 285,775.43 and 101,732.04 is: 152,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,402.74 : 285,775.43 = 101,732.04 : x
  2. Step 2: Convert to fraction form
    190,402.74/285,775.43 = 101,732.04/x
  3. Step 3: Cross multiply
    190,402.74x = 285,775.43 × 101,732.04
  4. Step 4: Simplify right side
    190,402.74x = 29,072,516,967.12
  5. Step 5: Solve for x
    x = 29,072,516,967.12/190,402.74
  6. Step 6: Final answer
    x = 152,689.59

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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.