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Finding the Fourth Proportional to 229,087.32, 316,140.41 and 133,575.57

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Solution

The fourth proportional to 229,087.32, 316,140.41 and 133,575.57 is: 184,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,087.32 : 316,140.41 = 133,575.57 : x
  2. Step 2: Convert to fraction form
    229,087.32/316,140.41 = 133,575.57/x
  3. Step 3: Cross multiply
    229,087.32x = 316,140.41 × 133,575.57
  4. Step 4: Simplify right side
    229,087.32x = 42,228,634,797.91
  5. Step 5: Solve for x
    x = 42,228,634,797.91/229,087.32
  6. Step 6: Final answer
    x = 184,334.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.