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Finding the Fourth Proportional to 214,692.55, 296,284.97 and 119,199.25

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Solution

The fourth proportional to 214,692.55, 296,284.97 and 119,199.25 is: 164,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,692.55 : 296,284.97 = 119,199.25 : x
  2. Step 2: Convert to fraction form
    214,692.55/296,284.97 = 119,199.25/x
  3. Step 3: Cross multiply
    214,692.55x = 296,284.97 × 119,199.25
  4. Step 4: Simplify right side
    214,692.55x = 35,316,946,210.27
  5. Step 5: Solve for x
    x = 35,316,946,210.27/214,692.55
  6. Step 6: Final answer
    x = 164,500.10

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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.