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Finding the Fourth Proportional to 205,048.95, 282,967.16 and 114,399.52

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Solution

The fourth proportional to 205,048.95, 282,967.16 and 114,399.52 is: 157,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.95 : 282,967.16 = 114,399.52 : x
  2. Step 2: Convert to fraction form
    205,048.95/282,967.16 = 114,399.52/x
  3. Step 3: Cross multiply
    205,048.95x = 282,967.16 × 114,399.52
  4. Step 4: Simplify right side
    205,048.95x = 32,371,306,000.35
  5. Step 5: Solve for x
    x = 32,371,306,000.35/205,048.95
  6. Step 6: Final answer
    x = 157,871.11

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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.