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Finding the Fourth Proportional to 132,017.48, 182,193.76 and 75,427.64

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Solution

The fourth proportional to 132,017.48, 182,193.76 and 75,427.64 is: 104,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017.48 : 182,193.76 = 75,427.64 : x
  2. Step 2: Convert to fraction form
    132,017.48/182,193.76 = 75,427.64/x
  3. Step 3: Cross multiply
    132,017.48x = 182,193.76 × 75,427.64
  4. Step 4: Simplify right side
    132,017.48x = 13,742,445,339.53
  5. Step 5: Solve for x
    x = 13,742,445,339.53/132,017.48
  6. Step 6: Final answer
    x = 104,095.65

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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.