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Finding the Fourth Proportional to 214,762.19, 296,378.60 and 128,692.80

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Solution

The fourth proportional to 214,762.19, 296,378.60 and 128,692.80 is: 177,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,762.19 : 296,378.60 = 128,692.80 : x
  2. Step 2: Convert to fraction form
    214,762.19/296,378.60 = 128,692.80/x
  3. Step 3: Cross multiply
    214,762.19x = 296,378.60 × 128,692.80
  4. Step 4: Simplify right side
    214,762.19x = 38,141,791,250.62
  5. Step 5: Solve for x
    x = 38,141,791,250.62/214,762.19
  6. Step 6: Final answer
    x = 177,600.13

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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.