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Finding the Fourth Proportional to 223,168.64, 307,844.16 and 133,692.80

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Solution

The fourth proportional to 223,168.64, 307,844.16 and 133,692.80 is: 184,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,168.64 : 307,844.16 = 133,692.80 : x
  2. Step 2: Convert to fraction form
    223,168.64/307,844.16 = 133,692.80/x
  3. Step 3: Cross multiply
    223,168.64x = 307,844.16 × 133,692.80
  4. Step 4: Simplify right side
    223,168.64x = 41,156,547,714.05
  5. Step 5: Solve for x
    x = 41,156,547,714.05/223,168.64
  6. Step 6: Final answer
    x = 184,419.05

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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.