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Finding the Fourth Proportional to 104,455.31, 144,097.52 and 61,983.77

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Solution

The fourth proportional to 104,455.31, 144,097.52 and 61,983.77 is: 85,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,455.31 : 144,097.52 = 61,983.77 : x
  2. Step 2: Convert to fraction form
    104,455.31/144,097.52 = 61,983.77/x
  3. Step 3: Cross multiply
    104,455.31x = 144,097.52 × 61,983.77
  4. Step 4: Simplify right side
    104,455.31x = 8,931,706,506.84
  5. Step 5: Solve for x
    x = 8,931,706,506.84/104,455.31
  6. Step 6: Final answer
    x = 85,507.45

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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.