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Finding the Fourth Proportional to 286,222.68, 429,530.86 and 99,234.18

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Solution

The fourth proportional to 286,222.68, 429,530.86 and 99,234.18 is: 148,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,222.68 : 429,530.86 = 99,234.18 : x
  2. Step 2: Convert to fraction form
    286,222.68/429,530.86 = 99,234.18/x
  3. Step 3: Cross multiply
    286,222.68x = 429,530.86 × 99,234.18
  4. Step 4: Simplify right side
    286,222.68x = 42,624,141,128.30
  5. Step 5: Solve for x
    x = 42,624,141,128.30/286,222.68
  6. Step 6: Final answer
    x = 148,919.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.