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Finding the Fourth Proportional to 214,609.95, 296,187.98 and 119,147.40

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Solution

The fourth proportional to 214,609.95, 296,187.98 and 119,147.40 is: 164,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.95 : 296,187.98 = 119,147.40 : x
  2. Step 2: Convert to fraction form
    214,609.95/296,187.98 = 119,147.40/x
  3. Step 3: Cross multiply
    214,609.95x = 296,187.98 × 119,147.40
  4. Step 4: Simplify right side
    214,609.95x = 35,290,027,132.52
  5. Step 5: Solve for x
    x = 35,290,027,132.52/214,609.95
  6. Step 6: Final answer
    x = 164,437.98

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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.