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Finding the Fourth Proportional to 152,734.30, 210,774.46 and 84,751.54

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Solution

The fourth proportional to 152,734.30, 210,774.46 and 84,751.54 is: 116,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,734.30 : 210,774.46 = 84,751.54 : x
  2. Step 2: Convert to fraction form
    152,734.30/210,774.46 = 84,751.54/x
  3. Step 3: Cross multiply
    152,734.30x = 210,774.46 × 84,751.54
  4. Step 4: Simplify right side
    152,734.30x = 17,863,460,077.67
  5. Step 5: Solve for x
    x = 17,863,460,077.67/152,734.30
  6. Step 6: Final answer
    x = 116,957.75

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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.