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Finding the Fourth Proportional to 288,701.61, 433,024.50 and 88,968.36

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Solution

The fourth proportional to 288,701.61, 433,024.50 and 88,968.36 is: 133,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,701.61 : 433,024.50 = 88,968.36 : x
  2. Step 2: Convert to fraction form
    288,701.61/433,024.50 = 88,968.36/x
  3. Step 3: Cross multiply
    288,701.61x = 433,024.50 × 88,968.36
  4. Step 4: Simplify right side
    288,701.61x = 38,525,479,604.82
  5. Step 5: Solve for x
    x = 38,525,479,604.82/288,701.61
  6. Step 6: Final answer
    x = 133,443.94

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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.