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Finding the Fourth Proportional to 107,461.76, 161,171.93 and 102,127.57

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Solution

The fourth proportional to 107,461.76, 161,171.93 and 102,127.57 is: 153,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,461.76 : 161,171.93 = 102,127.57 : x
  2. Step 2: Convert to fraction form
    107,461.76/161,171.93 = 102,127.57/x
  3. Step 3: Cross multiply
    107,461.76x = 161,171.93 × 102,127.57
  4. Step 4: Simplify right side
    107,461.76x = 16,460,097,415.50
  5. Step 5: Solve for x
    x = 16,460,097,415.50/107,461.76
  6. Step 6: Final answer
    x = 153,171.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.