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Finding the Fourth Proportional to 213,133.82, 294,122.14 and 117,638.46

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Solution

The fourth proportional to 213,133.82, 294,122.14 and 117,638.46 is: 162,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133.82 : 294,122.14 = 117,638.46 : x
  2. Step 2: Convert to fraction form
    213,133.82/294,122.14 = 117,638.46/x
  3. Step 3: Cross multiply
    213,133.82x = 294,122.14 × 117,638.46
  4. Step 4: Simplify right side
    213,133.82x = 34,600,075,307.41
  5. Step 5: Solve for x
    x = 34,600,075,307.41/213,133.82
  6. Step 6: Final answer
    x = 162,339.68

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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.