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Finding the Fourth Proportional to 286,175.20, 429,262.80 and 99,205.60

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Solution

The fourth proportional to 286,175.20, 429,262.80 and 99,205.60 is: 148,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,175.20 : 429,262.80 = 99,205.60 : x
  2. Step 2: Convert to fraction form
    286,175.20/429,262.80 = 99,205.60/x
  3. Step 3: Cross multiply
    286,175.20x = 429,262.80 × 99,205.60
  4. Step 4: Simplify right side
    286,175.20x = 42,585,273,631.68
  5. Step 5: Solve for x
    x = 42,585,273,631.68/286,175.20
  6. Step 6: Final answer
    x = 148,808.40

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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.