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Finding the Fourth Proportional to 286,065.24, 429,000.66 and 99,033

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Solution

The fourth proportional to 286,065.24, 429,000.66 and 99,033 is: 148,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.24 : 429,000.66 = 99,033 : x
  2. Step 2: Convert to fraction form
    286,065.24/429,000.66 = 99,033/x
  3. Step 3: Cross multiply
    286,065.24x = 429,000.66 × 99,033
  4. Step 4: Simplify right side
    286,065.24x = 42,485,222,361.78
  5. Step 5: Solve for x
    x = 42,485,222,361.78/286,065.24
  6. Step 6: Final answer
    x = 148,515.85

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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.