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Finding the Fourth Proportional to 205,513.90, 308,270.85 and 105,534.70

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Solution

The fourth proportional to 205,513.90, 308,270.85 and 105,534.70 is: 158,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.90 : 308,270.85 = 105,534.70 : x
  2. Step 2: Convert to fraction form
    205,513.90/308,270.85 = 105,534.70/x
  3. Step 3: Cross multiply
    205,513.90x = 308,270.85 × 105,534.70
  4. Step 4: Simplify right side
    205,513.90x = 32,533,271,673.50
  5. Step 5: Solve for x
    x = 32,533,271,673.50/205,513.90
  6. Step 6: Final answer
    x = 158,302.05

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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.