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Finding the Fourth Proportional to 156,692.90, 235,192.95 and 77,896.10

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Solution

The fourth proportional to 156,692.90, 235,192.95 and 77,896.10 is: 116,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,692.90 : 235,192.95 = 77,896.10 : x
  2. Step 2: Convert to fraction form
    156,692.90/235,192.95 = 77,896.10/x
  3. Step 3: Cross multiply
    156,692.90x = 235,192.95 × 77,896.10
  4. Step 4: Simplify right side
    156,692.90x = 18,320,613,552.50
  5. Step 5: Solve for x
    x = 18,320,613,552.50/156,692.90
  6. Step 6: Final answer
    x = 116,920.51

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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.