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Finding the Fourth Proportional to 152,702.66, 210,754.96 and 84,741.46

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Solution

The fourth proportional to 152,702.66, 210,754.96 and 84,741.46 is: 116,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,702.66 : 210,754.96 = 84,741.46 : x
  2. Step 2: Convert to fraction form
    152,702.66/210,754.96 = 84,741.46/x
  3. Step 3: Cross multiply
    152,702.66x = 210,754.96 × 84,741.46
  4. Step 4: Simplify right side
    152,702.66x = 17,859,682,273.90
  5. Step 5: Solve for x
    x = 17,859,682,273.90/152,702.66
  6. Step 6: Final answer
    x = 116,957.25

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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.