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Finding the Fourth Proportional to 104,901.38, 144,782.64 and 61,878.23

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Solution

The fourth proportional to 104,901.38, 144,782.64 and 61,878.23 is: 85,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,901.38 : 144,782.64 = 61,878.23 : x
  2. Step 2: Convert to fraction form
    104,901.38/144,782.64 = 61,878.23/x
  3. Step 3: Cross multiply
    104,901.38x = 144,782.64 × 61,878.23
  4. Step 4: Simplify right side
    104,901.38x = 8,958,893,316.95
  5. Step 5: Solve for x
    x = 8,958,893,316.95/104,901.38
  6. Step 6: Final answer
    x = 85,403.01

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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.