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Finding the Fourth Proportional to 292,828.50, 404,103.60 and 158,692.50

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Solution

The fourth proportional to 292,828.50, 404,103.60 and 158,692.50 is: 218,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,828.50 : 404,103.60 = 158,692.50 : x
  2. Step 2: Convert to fraction form
    292,828.50/404,103.60 = 158,692.50/x
  3. Step 3: Cross multiply
    292,828.50x = 404,103.60 × 158,692.50
  4. Step 4: Simplify right side
    292,828.50x = 64,128,210,543
  5. Step 5: Solve for x
    x = 64,128,210,543/292,828.50
  6. Step 6: Final answer
    x = 218,995.80

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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.