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Finding the Fourth Proportional to 153,692.60, 212,095.38 and 85,709.66

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Solution

The fourth proportional to 153,692.60, 212,095.38 and 85,709.66 is: 118,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,692.60 : 212,095.38 = 85,709.66 : x
  2. Step 2: Convert to fraction form
    153,692.60/212,095.38 = 85,709.66/x
  3. Step 3: Cross multiply
    153,692.60x = 212,095.38 × 85,709.66
  4. Step 4: Simplify right side
    153,692.60x = 18,178,621,927.25
  5. Step 5: Solve for x
    x = 18,178,621,927.25/153,692.60
  6. Step 6: Final answer
    x = 118,279.09

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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.