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Finding the Fourth Proportional to 354,522.30, 531,774.81 and 144,108.06

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Solution

The fourth proportional to 354,522.30, 531,774.81 and 144,108.06 is: 216,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,522.30 : 531,774.81 = 144,108.06 : x
  2. Step 2: Convert to fraction form
    354,522.30/531,774.81 = 144,108.06/x
  3. Step 3: Cross multiply
    354,522.30x = 531,774.81 × 144,108.06
  4. Step 4: Simplify right side
    354,522.30x = 76,633,036,225.97
  5. Step 5: Solve for x
    x = 76,633,036,225.97/354,522.30
  6. Step 6: Final answer
    x = 216,158.58

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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.