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Finding the Fourth Proportional to 214,702.27, 296,283.50 and 119,206.51

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Solution

The fourth proportional to 214,702.27, 296,283.50 and 119,206.51 is: 164,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,702.27 : 296,283.50 = 119,206.51 : x
  2. Step 2: Convert to fraction form
    214,702.27/296,283.50 = 119,206.51/x
  3. Step 3: Cross multiply
    214,702.27x = 296,283.50 × 119,206.51
  4. Step 4: Simplify right side
    214,702.27x = 35,318,921,409.55
  5. Step 5: Solve for x
    x = 35,318,921,409.55/214,702.27
  6. Step 6: Final answer
    x = 164,501.85

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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.