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Finding the Fourth Proportional to 133,674.29, 200,444.72 and 43,705.28

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Solution

The fourth proportional to 133,674.29, 200,444.72 and 43,705.28 is: 65,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,674.29 : 200,444.72 = 43,705.28 : x
  2. Step 2: Convert to fraction form
    133,674.29/200,444.72 = 43,705.28/x
  3. Step 3: Cross multiply
    133,674.29x = 200,444.72 × 43,705.28
  4. Step 4: Simplify right side
    133,674.29x = 8,760,492,894.71
  5. Step 5: Solve for x
    x = 8,760,492,894.71/133,674.29
  6. Step 6: Final answer
    x = 65,536.11

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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.