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Finding the Fourth Proportional to 222,809.95, 307,475.64 and 120,837.66

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Solution

The fourth proportional to 222,809.95, 307,475.64 and 120,837.66 is: 166,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,809.95 : 307,475.64 = 120,837.66 : x
  2. Step 2: Convert to fraction form
    222,809.95/307,475.64 = 120,837.66/x
  3. Step 3: Cross multiply
    222,809.95x = 307,475.64 × 120,837.66
  4. Step 4: Simplify right side
    222,809.95x = 37,154,637,421.12
  5. Step 5: Solve for x
    x = 37,154,637,421.12/222,809.95
  6. Step 6: Final answer
    x = 166,754.84

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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.