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Finding the Fourth Proportional to 289,152.79, 433,558.74 and 135,108.38

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Solution

The fourth proportional to 289,152.79, 433,558.74 and 135,108.38 is: 202,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,152.79 : 433,558.74 = 135,108.38 : x
  2. Step 2: Convert to fraction form
    289,152.79/433,558.74 = 135,108.38/x
  3. Step 3: Cross multiply
    289,152.79x = 433,558.74 × 135,108.38
  4. Step 4: Simplify right side
    289,152.79x = 58,577,418,996.24
  5. Step 5: Solve for x
    x = 58,577,418,996.24/289,152.79
  6. Step 6: Final answer
    x = 202,582.93

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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.