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Finding the Fourth Proportional to 155,411.56, 214,537.38 and 119,588.20

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Solution

The fourth proportional to 155,411.56, 214,537.38 and 119,588.20 is: 165,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,411.56 : 214,537.38 = 119,588.20 : x
  2. Step 2: Convert to fraction form
    155,411.56/214,537.38 = 119,588.20/x
  3. Step 3: Cross multiply
    155,411.56x = 214,537.38 × 119,588.20
  4. Step 4: Simplify right side
    155,411.56x = 25,656,139,106.92
  5. Step 5: Solve for x
    x = 25,656,139,106.92/155,411.56
  6. Step 6: Final answer
    x = 165,085.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.