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Finding the Fourth Proportional to 102,995.63, 142,122 and 59,984.51

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Solution

The fourth proportional to 102,995.63, 142,122 and 59,984.51 is: 82,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.63 : 142,122 = 59,984.51 : x
  2. Step 2: Convert to fraction form
    102,995.63/142,122 = 59,984.51/x
  3. Step 3: Cross multiply
    102,995.63x = 142,122 × 59,984.51
  4. Step 4: Simplify right side
    102,995.63x = 8,525,118,885.53
  5. Step 5: Solve for x
    x = 8,525,118,885.53/102,995.63
  6. Step 6: Final answer
    x = 82,771.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.