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Finding the Fourth Proportional to 196,302.80, 270,897.88 and 106,878.80

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Solution

The fourth proportional to 196,302.80, 270,897.88 and 106,878.80 is: 147,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,302.80 : 270,897.88 = 106,878.80 : x
  2. Step 2: Convert to fraction form
    196,302.80/270,897.88 = 106,878.80/x
  3. Step 3: Cross multiply
    196,302.80x = 270,897.88 × 106,878.80
  4. Step 4: Simplify right side
    196,302.80x = 28,953,240,336.94
  5. Step 5: Solve for x
    x = 28,953,240,336.94/196,302.80
  6. Step 6: Final answer
    x = 147,492.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.