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Finding the Fourth Proportional to 214,794.96, 296,408.80 and 119,307.76

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Solution

The fourth proportional to 214,794.96, 296,408.80 and 119,307.76 is: 164,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,794.96 : 296,408.80 = 119,307.76 : x
  2. Step 2: Convert to fraction form
    214,794.96/296,408.80 = 119,307.76/x
  3. Step 3: Cross multiply
    214,794.96x = 296,408.80 × 119,307.76
  4. Step 4: Simplify right side
    214,794.96x = 35,363,869,972.29
  5. Step 5: Solve for x
    x = 35,363,869,972.29/214,794.96
  6. Step 6: Final answer
    x = 164,640.13

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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.