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Finding the Fourth Proportional to 284,364.82, 426,207.93 and 132,357.34

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Solution

The fourth proportional to 284,364.82, 426,207.93 and 132,357.34 is: 198,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,364.82 : 426,207.93 = 132,357.34 : x
  2. Step 2: Convert to fraction form
    284,364.82/426,207.93 = 132,357.34/x
  3. Step 3: Cross multiply
    284,364.82x = 426,207.93 × 132,357.34
  4. Step 4: Simplify right side
    284,364.82x = 56,411,747,901.71
  5. Step 5: Solve for x
    x = 56,411,747,901.71/284,364.82
  6. Step 6: Final answer
    x = 198,378.08

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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.