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Finding the Fourth Proportional to 230,294.14, 345,403.56 and 163,532.32

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Solution

The fourth proportional to 230,294.14, 345,403.56 and 163,532.32 is: 245,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,294.14 : 345,403.56 = 163,532.32 : x
  2. Step 2: Convert to fraction form
    230,294.14/345,403.56 = 163,532.32/x
  3. Step 3: Cross multiply
    230,294.14x = 345,403.56 × 163,532.32
  4. Step 4: Simplify right side
    230,294.14x = 56,484,645,503.06
  5. Step 5: Solve for x
    x = 56,484,645,503.06/230,294.14
  6. Step 6: Final answer
    x = 245,271.74

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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.