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Finding the Fourth Proportional to 286,193.88, 429,290.82 and 99,205.38

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Solution

The fourth proportional to 286,193.88, 429,290.82 and 99,205.38 is: 148,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,193.88 : 429,290.82 = 99,205.38 : x
  2. Step 2: Convert to fraction form
    286,193.88/429,290.82 = 99,205.38/x
  3. Step 3: Cross multiply
    286,193.88x = 429,290.82 × 99,205.38
  4. Step 4: Simplify right side
    286,193.88x = 42,587,958,928.61
  5. Step 5: Solve for x
    x = 42,587,958,928.61/286,193.88
  6. Step 6: Final answer
    x = 148,808.07

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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.