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Finding the Fourth Proportional to 282,955.17, 390,454.83 and 166,650.51

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Solution

The fourth proportional to 282,955.17, 390,454.83 and 166,650.51 is: 229,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,955.17 : 390,454.83 = 166,650.51 : x
  2. Step 2: Convert to fraction form
    282,955.17/390,454.83 = 166,650.51/x
  3. Step 3: Cross multiply
    282,955.17x = 390,454.83 × 166,650.51
  4. Step 4: Simplify right side
    282,955.17x = 65,069,498,015.67
  5. Step 5: Solve for x
    x = 65,069,498,015.67/282,955.17
  6. Step 6: Final answer
    x = 229,963.98

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Why These Related Problems?

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