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Finding the Fourth Proportional to 209,794.80, 314,692.50 and 160,156.74

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Solution

The fourth proportional to 209,794.80, 314,692.50 and 160,156.74 is: 240,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.80 : 314,692.50 = 160,156.74 : x
  2. Step 2: Convert to fraction form
    209,794.80/314,692.50 = 160,156.74/x
  3. Step 3: Cross multiply
    209,794.80x = 314,692.50 × 160,156.74
  4. Step 4: Simplify right side
    209,794.80x = 50,400,124,902.45
  5. Step 5: Solve for x
    x = 50,400,124,902.45/209,794.80
  6. Step 6: Final answer
    x = 240,235.34

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1.5x scale

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.