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Finding the Fourth Proportional to 357,495.59, 536,236.43 and 144,257.85

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Solution

The fourth proportional to 357,495.59, 536,236.43 and 144,257.85 is: 216,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,495.59 : 536,236.43 = 144,257.85 : x
  2. Step 2: Convert to fraction form
    357,495.59/536,236.43 = 144,257.85/x
  3. Step 3: Cross multiply
    357,495.59x = 536,236.43 × 144,257.85
  4. Step 4: Simplify right side
    357,495.59x = 77,356,313,762.19
  5. Step 5: Solve for x
    x = 77,356,313,762.19/357,495.59
  6. Step 6: Final answer
    x = 216,383.96

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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.