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Finding the Fourth Proportional to 152,047.54, 209,821.91 and 84,062.76

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Solution

The fourth proportional to 152,047.54, 209,821.91 and 84,062.76 is: 116,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.54 : 209,821.91 = 84,062.76 : x
  2. Step 2: Convert to fraction form
    152,047.54/209,821.91 = 84,062.76/x
  3. Step 3: Cross multiply
    152,047.54x = 209,821.91 × 84,062.76
  4. Step 4: Simplify right side
    152,047.54x = 17,638,208,954.39
  5. Step 5: Solve for x
    x = 17,638,208,954.39/152,047.54
  6. Step 6: Final answer
    x = 116,004.57

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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.