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Finding the Fourth Proportional to 200,595.87, 301,161.06 and 116,416.46

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Solution

The fourth proportional to 200,595.87, 301,161.06 and 116,416.46 is: 174,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,595.87 : 301,161.06 = 116,416.46 : x
  2. Step 2: Convert to fraction form
    200,595.87/301,161.06 = 116,416.46/x
  3. Step 3: Cross multiply
    200,595.87x = 301,161.06 × 116,416.46
  4. Step 4: Simplify right side
    200,595.87x = 35,060,105,247.95
  5. Step 5: Solve for x
    x = 35,060,105,247.95/200,595.87
  6. Step 6: Final answer
    x = 174,779.80

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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.