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Finding the Fourth Proportional to 205,248.50, 283,240 and 114,605.90

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Solution

The fourth proportional to 205,248.50, 283,240 and 114,605.90 is: 158,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248.50 : 283,240 = 114,605.90 : x
  2. Step 2: Convert to fraction form
    205,248.50/283,240 = 114,605.90/x
  3. Step 3: Cross multiply
    205,248.50x = 283,240 × 114,605.90
  4. Step 4: Simplify right side
    205,248.50x = 32,460,975,116
  5. Step 5: Solve for x
    x = 32,460,975,116/205,248.50
  6. Step 6: Final answer
    x = 158,154.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.