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Finding the Fourth Proportional to 214,688.76, 296,271.12 and 119,195.68

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Solution

The fourth proportional to 214,688.76, 296,271.12 and 119,195.68 is: 164,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,688.76 : 296,271.12 = 119,195.68 : x
  2. Step 2: Convert to fraction form
    214,688.76/296,271.12 = 119,195.68/x
  3. Step 3: Cross multiply
    214,688.76x = 296,271.12 × 119,195.68
  4. Step 4: Simplify right side
    214,688.76x = 35,314,237,612.76
  5. Step 5: Solve for x
    x = 35,314,237,612.76/214,688.76
  6. Step 6: Final answer
    x = 164,490.39

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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.