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Finding the Fourth Proportional to 213,673.77, 294,850 and 118,178.41

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Solution

The fourth proportional to 213,673.77, 294,850 and 118,178.41 is: 163,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,673.77 : 294,850 = 118,178.41 : x
  2. Step 2: Convert to fraction form
    213,673.77/294,850 = 118,178.41/x
  3. Step 3: Cross multiply
    213,673.77x = 294,850 × 118,178.41
  4. Step 4: Simplify right side
    213,673.77x = 34,844,904,188.50
  5. Step 5: Solve for x
    x = 34,844,904,188.50/213,673.77
  6. Step 6: Final answer
    x = 163,075.25

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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.