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Finding the Fourth Proportional to 288,798.94, 433,256.16 and 89,111.82

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Solution

The fourth proportional to 288,798.94, 433,256.16 and 89,111.82 is: 133,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,798.94 : 433,256.16 = 89,111.82 : x
  2. Step 2: Convert to fraction form
    288,798.94/433,256.16 = 89,111.82/x
  3. Step 3: Cross multiply
    288,798.94x = 433,256.16 × 89,111.82
  4. Step 4: Simplify right side
    288,798.94x = 38,608,245,558.84
  5. Step 5: Solve for x
    x = 38,608,245,558.84/288,798.94
  6. Step 6: Final answer
    x = 133,685.55

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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.