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Finding the Fourth Proportional to 214,203.69, 295,735.42 and 137,855.35

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Solution

The fourth proportional to 214,203.69, 295,735.42 and 137,855.35 is: 190,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,203.69 : 295,735.42 = 137,855.35 : x
  2. Step 2: Convert to fraction form
    214,203.69/295,735.42 = 137,855.35/x
  3. Step 3: Cross multiply
    214,203.69x = 295,735.42 × 137,855.35
  4. Step 4: Simplify right side
    214,203.69x = 40,768,710,373.49
  5. Step 5: Solve for x
    x = 40,768,710,373.49/214,203.69
  6. Step 6: Final answer
    x = 190,326.84

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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.