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Finding the Fourth Proportional to 358,161.87, 537,057.89 and 105,409.52

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Solution

The fourth proportional to 358,161.87, 537,057.89 and 105,409.52 is: 158,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,161.87 : 537,057.89 = 105,409.52 : x
  2. Step 2: Convert to fraction form
    358,161.87/537,057.89 = 105,409.52/x
  3. Step 3: Cross multiply
    358,161.87x = 537,057.89 × 105,409.52
  4. Step 4: Simplify right side
    358,161.87x = 56,611,014,397.11
  5. Step 5: Solve for x
    x = 56,611,014,397.11/358,161.87
  6. Step 6: Final answer
    x = 158,059.86

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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.