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Finding the Fourth Proportional to 104,684.94, 144,466.56 and 56,938.14

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Solution

The fourth proportional to 104,684.94, 144,466.56 and 56,938.14 is: 78,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,684.94 : 144,466.56 = 56,938.14 : x
  2. Step 2: Convert to fraction form
    104,684.94/144,466.56 = 56,938.14/x
  3. Step 3: Cross multiply
    104,684.94x = 144,466.56 × 56,938.14
  4. Step 4: Simplify right side
    104,684.94x = 8,225,657,218.60
  5. Step 5: Solve for x
    x = 8,225,657,218.60/104,684.94
  6. Step 6: Final answer
    x = 78,575.36

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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.