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Finding the Fourth Proportional to 213,576, 294,730 and 118,083.48

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Solution

The fourth proportional to 213,576, 294,730 and 118,083.48 is: 162,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,576 : 294,730 = 118,083.48 : x
  2. Step 2: Convert to fraction form
    213,576/294,730 = 118,083.48/x
  3. Step 3: Cross multiply
    213,576x = 294,730 × 118,083.48
  4. Step 4: Simplify right side
    213,576x = 34,802,744,060.40
  5. Step 5: Solve for x
    x = 34,802,744,060.40/213,576
  6. Step 6: Final answer
    x = 162,952.50

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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.