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Finding the Fourth Proportional to 180,653.46, 270,995.70 and 47,534.46

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Solution

The fourth proportional to 180,653.46, 270,995.70 and 47,534.46 is: 71,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,653.46 : 270,995.70 = 47,534.46 : x
  2. Step 2: Convert to fraction form
    180,653.46/270,995.70 = 47,534.46/x
  3. Step 3: Cross multiply
    180,653.46x = 270,995.70 × 47,534.46
  4. Step 4: Simplify right side
    180,653.46x = 12,881,634,261.82
  5. Step 5: Solve for x
    x = 12,881,634,261.82/180,653.46
  6. Step 6: Final answer
    x = 71,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.