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Finding the Fourth Proportional to 109,386.40, 163,982.40 and 42,804.40

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Solution

The fourth proportional to 109,386.40, 163,982.40 and 42,804.40 is: 64,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386.40 : 163,982.40 = 42,804.40 : x
  2. Step 2: Convert to fraction form
    109,386.40/163,982.40 = 42,804.40/x
  3. Step 3: Cross multiply
    109,386.40x = 163,982.40 × 42,804.40
  4. Step 4: Simplify right side
    109,386.40x = 7,019,168,242.56
  5. Step 5: Solve for x
    x = 7,019,168,242.56/109,386.40
  6. Step 6: Final answer
    x = 64,168.56

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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.