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Finding the Fourth Proportional to 222,632.94, 307,264.95 and 137,777.34

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Solution

The fourth proportional to 222,632.94, 307,264.95 and 137,777.34 is: 190,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,632.94 : 307,264.95 = 137,777.34 : x
  2. Step 2: Convert to fraction form
    222,632.94/307,264.95 = 137,777.34/x
  3. Step 3: Cross multiply
    222,632.94x = 307,264.95 × 137,777.34
  4. Step 4: Simplify right side
    222,632.94x = 42,334,147,486.23
  5. Step 5: Solve for x
    x = 42,334,147,486.23/222,632.94
  6. Step 6: Final answer
    x = 190,152.22

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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.