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Finding the Fourth Proportional to 133,678.49, 200,551.15 and 94,312.49

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Solution

The fourth proportional to 133,678.49, 200,551.15 and 94,312.49 is: 141,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.49 : 200,551.15 = 94,312.49 : x
  2. Step 2: Convert to fraction form
    133,678.49/200,551.15 = 94,312.49/x
  3. Step 3: Cross multiply
    133,678.49x = 200,551.15 × 94,312.49
  4. Step 4: Simplify right side
    133,678.49x = 18,914,478,328.86
  5. Step 5: Solve for x
    x = 18,914,478,328.86/133,678.49
  6. Step 6: Final answer
    x = 141,492.31

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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.