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Finding the Fourth Proportional to 109,102.40, 163,653.60 and 106,510.40

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Solution

The fourth proportional to 109,102.40, 163,653.60 and 106,510.40 is: 159,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,102.40 : 163,653.60 = 106,510.40 : x
  2. Step 2: Convert to fraction form
    109,102.40/163,653.60 = 106,510.40/x
  3. Step 3: Cross multiply
    109,102.40x = 163,653.60 × 106,510.40
  4. Step 4: Simplify right side
    109,102.40x = 17,430,810,397.44
  5. Step 5: Solve for x
    x = 17,430,810,397.44/109,102.40
  6. Step 6: Final answer
    x = 159,765.60

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