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Finding the Fourth Proportional to 132,030, 182,211 and 75,440.16

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Solution

The fourth proportional to 132,030, 182,211 and 75,440.16 is: 104,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 182,211 = 75,440.16 : x
  2. Step 2: Convert to fraction form
    132,030/182,211 = 75,440.16/x
  3. Step 3: Cross multiply
    132,030x = 182,211 × 75,440.16
  4. Step 4: Simplify right side
    132,030x = 13,746,026,993.76
  5. Step 5: Solve for x
    x = 13,746,026,993.76/132,030
  6. Step 6: Final answer
    x = 104,112.91

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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.