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Finding the Fourth Proportional to 214,913.76, 296,580.72 and 119,429.76

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Solution

The fourth proportional to 214,913.76, 296,580.72 and 119,429.76 is: 164,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,913.76 : 296,580.72 = 119,429.76 : x
  2. Step 2: Convert to fraction form
    214,913.76/296,580.72 = 119,429.76/x
  3. Step 3: Cross multiply
    214,913.76x = 296,580.72 × 119,429.76
  4. Step 4: Simplify right side
    214,913.76x = 35,420,564,210.23
  5. Step 5: Solve for x
    x = 35,420,564,210.23/214,913.76
  6. Step 6: Final answer
    x = 164,812.92

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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.