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Finding the Fourth Proportional to 117,464.16, 162,032.76 and 74,974.80

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Solution

The fourth proportional to 117,464.16, 162,032.76 and 74,974.80 is: 103,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464.16 : 162,032.76 = 74,974.80 : x
  2. Step 2: Convert to fraction form
    117,464.16/162,032.76 = 74,974.80/x
  3. Step 3: Cross multiply
    117,464.16x = 162,032.76 × 74,974.80
  4. Step 4: Simplify right side
    117,464.16x = 12,148,373,774.45
  5. Step 5: Solve for x
    x = 12,148,373,774.45/117,464.16
  6. Step 6: Final answer
    x = 103,421.96

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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.