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Finding the Fourth Proportional to 222,477.60, 307,018.33 and 120,502.81

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Solution

The fourth proportional to 222,477.60, 307,018.33 and 120,502.81 is: 166,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,477.60 : 307,018.33 = 120,502.81 : x
  2. Step 2: Convert to fraction form
    222,477.60/307,018.33 = 120,502.81/x
  3. Step 3: Cross multiply
    222,477.60x = 307,018.33 × 120,502.81
  4. Step 4: Simplify right side
    222,477.60x = 36,996,571,486.51
  5. Step 5: Solve for x
    x = 36,996,571,486.51/222,477.60
  6. Step 6: Final answer
    x = 166,293.47

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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.