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Finding the Fourth Proportional to 210,811.48, 316,259.56 and 77,692.44

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Solution

The fourth proportional to 210,811.48, 316,259.56 and 77,692.44 is: 116,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,811.48 : 316,259.56 = 77,692.44 : x
  2. Step 2: Convert to fraction form
    210,811.48/316,259.56 = 77,692.44/x
  3. Step 3: Cross multiply
    210,811.48x = 316,259.56 × 77,692.44
  4. Step 4: Simplify right side
    210,811.48x = 24,570,976,889.73
  5. Step 5: Solve for x
    x = 24,570,976,889.73/210,811.48
  6. Step 6: Final answer
    x = 116,554.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.