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Finding the Fourth Proportional to 152,527.85, 210,495.47 and 84,546.28

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Solution

The fourth proportional to 152,527.85, 210,495.47 and 84,546.28 is: 116,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,527.85 : 210,495.47 = 84,546.28 : x
  2. Step 2: Convert to fraction form
    152,527.85/210,495.47 = 84,546.28/x
  3. Step 3: Cross multiply
    152,527.85x = 210,495.47 × 84,546.28
  4. Step 4: Simplify right side
    152,527.85x = 17,796,608,945.35
  5. Step 5: Solve for x
    x = 17,796,608,945.35/152,527.85
  6. Step 6: Final answer
    x = 116,677.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.