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Finding the Fourth Proportional to 117,152.90, 161,682.93 and 84,474.19

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Solution

The fourth proportional to 117,152.90, 161,682.93 and 84,474.19 is: 116,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,152.90 : 161,682.93 = 84,474.19 : x
  2. Step 2: Convert to fraction form
    117,152.90/161,682.93 = 84,474.19/x
  3. Step 3: Cross multiply
    117,152.90x = 161,682.93 × 84,474.19
  4. Step 4: Simplify right side
    117,152.90x = 13,658,034,548.58
  5. Step 5: Solve for x
    x = 13,658,034,548.58/117,152.90
  6. Step 6: Final answer
    x = 116,582.98

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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.