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Finding the Fourth Proportional to 286,091.40, 429,137.10 and 160,120.20

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Solution

The fourth proportional to 286,091.40, 429,137.10 and 160,120.20 is: 240,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,091.40 : 429,137.10 = 160,120.20 : x
  2. Step 2: Convert to fraction form
    286,091.40/429,137.10 = 160,120.20/x
  3. Step 3: Cross multiply
    286,091.40x = 429,137.10 × 160,120.20
  4. Step 4: Simplify right side
    286,091.40x = 68,713,518,279.42
  5. Step 5: Solve for x
    x = 68,713,518,279.42/286,091.40
  6. Step 6: Final answer
    x = 240,180.30

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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.