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Finding the Fourth Proportional to 214,951.71, 296,633.51 and 119,458.38

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Solution

The fourth proportional to 214,951.71, 296,633.51 and 119,458.38 is: 164,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,951.71 : 296,633.51 = 119,458.38 : x
  2. Step 2: Convert to fraction form
    214,951.71/296,633.51 = 119,458.38/x
  3. Step 3: Cross multiply
    214,951.71x = 296,633.51 × 119,458.38
  4. Step 4: Simplify right side
    214,951.71x = 35,435,358,558.31
  5. Step 5: Solve for x
    x = 35,435,358,558.31/214,951.71
  6. Step 6: Final answer
    x = 164,852.65

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1.5x scale

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.