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Finding the Fourth Proportional to 210,180.90, 290,056.64 and 114,692.84

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Solution

The fourth proportional to 210,180.90, 290,056.64 and 114,692.84 is: 158,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,180.90 : 290,056.64 = 114,692.84 : x
  2. Step 2: Convert to fraction form
    210,180.90/290,056.64 = 114,692.84/x
  3. Step 3: Cross multiply
    210,180.90x = 290,056.64 × 114,692.84
  4. Step 4: Simplify right side
    210,180.90x = 33,267,417,778.71
  5. Step 5: Solve for x
    x = 33,267,417,778.71/210,180.90
  6. Step 6: Final answer
    x = 158,279.93

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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.