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Finding the Fourth Proportional to 289,060.34, 433,482.77 and 99,467.69

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Solution

The fourth proportional to 289,060.34, 433,482.77 and 99,467.69 is: 149,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060.34 : 433,482.77 = 99,467.69 : x
  2. Step 2: Convert to fraction form
    289,060.34/433,482.77 = 99,467.69/x
  3. Step 3: Cross multiply
    289,060.34x = 433,482.77 × 99,467.69
  4. Step 4: Simplify right side
    289,060.34x = 43,117,527,121.95
  5. Step 5: Solve for x
    x = 43,117,527,121.95/289,060.34
  6. Step 6: Final answer
    x = 149,164.45

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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.