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Finding the Fourth Proportional to 214,758.50, 296,515.02 and 134,222.22

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Solution

The fourth proportional to 214,758.50, 296,515.02 and 134,222.22 is: 185,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758.50 : 296,515.02 = 134,222.22 : x
  2. Step 2: Convert to fraction form
    214,758.50/296,515.02 = 134,222.22/x
  3. Step 3: Cross multiply
    214,758.50x = 296,515.02 × 134,222.22
  4. Step 4: Simplify right side
    214,758.50x = 39,798,904,247.74
  5. Step 5: Solve for x
    x = 39,798,904,247.74/214,758.50
  6. Step 6: Final answer
    x = 185,319.35

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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.