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Finding the Fourth Proportional to 105,433.94, 158,530.26 and 97,214.51

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Solution

The fourth proportional to 105,433.94, 158,530.26 and 97,214.51 is: 146,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,433.94 : 158,530.26 = 97,214.51 : x
  2. Step 2: Convert to fraction form
    105,433.94/158,530.26 = 97,214.51/x
  3. Step 3: Cross multiply
    105,433.94x = 158,530.26 × 97,214.51
  4. Step 4: Simplify right side
    105,433.94x = 15,411,441,546.07
  5. Step 5: Solve for x
    x = 15,411,441,546.07/105,433.94
  6. Step 6: Final answer
    x = 146,171.54

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Why These Related Problems?

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