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Finding the Fourth Proportional to 180,903.66, 271,368.44 and 47,782.59

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Solution

The fourth proportional to 180,903.66, 271,368.44 and 47,782.59 is: 71,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.66 : 271,368.44 = 47,782.59 : x
  2. Step 2: Convert to fraction form
    180,903.66/271,368.44 = 47,782.59/x
  3. Step 3: Cross multiply
    180,903.66x = 271,368.44 × 47,782.59
  4. Step 4: Simplify right side
    180,903.66x = 12,966,686,907.46
  5. Step 5: Solve for x
    x = 12,966,686,907.46/180,903.66
  6. Step 6: Final answer
    x = 71,677.31

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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.