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Finding the Fourth Proportional to 286,182.76, 429,274.13 and 99,194.26

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Solution

The fourth proportional to 286,182.76, 429,274.13 and 99,194.26 is: 148,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,182.76 : 429,274.13 = 99,194.26 : x
  2. Step 2: Convert to fraction form
    286,182.76/429,274.13 = 99,194.26/x
  3. Step 3: Cross multiply
    286,182.76x = 429,274.13 × 99,194.26
  4. Step 4: Simplify right side
    286,182.76x = 42,581,529,662.49
  5. Step 5: Solve for x
    x = 42,581,529,662.49/286,182.76
  6. Step 6: Final answer
    x = 148,791.39

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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.