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Finding the Fourth Proportional to 194,692.60, 292,307.84 and 134,572.98

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Solution

The fourth proportional to 194,692.60, 292,307.84 and 134,572.98 is: 202,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,692.60 : 292,307.84 = 134,572.98 : x
  2. Step 2: Convert to fraction form
    194,692.60/292,307.84 = 134,572.98/x
  3. Step 3: Cross multiply
    194,692.60x = 292,307.84 × 134,572.98
  4. Step 4: Simplify right side
    194,692.60x = 39,336,737,106.16
  5. Step 5: Solve for x
    x = 39,336,737,106.16/194,692.60
  6. Step 6: Final answer
    x = 202,045.36

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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.