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Finding the Fourth Proportional to 213,295.76, 294,347.22 and 117,801.98

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Solution

The fourth proportional to 213,295.76, 294,347.22 and 117,801.98 is: 162,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,295.76 : 294,347.22 = 117,801.98 : x
  2. Step 2: Convert to fraction form
    213,295.76/294,347.22 = 117,801.98/x
  3. Step 3: Cross multiply
    213,295.76x = 294,347.22 × 117,801.98
  4. Step 4: Simplify right side
    213,295.76x = 34,674,685,323.50
  5. Step 5: Solve for x
    x = 34,674,685,323.50/213,295.76
  6. Step 6: Final answer
    x = 162,566.22

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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.