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Finding the Fourth Proportional to 152,652.98, 210,652.52 and 84,665.07

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Solution

The fourth proportional to 152,652.98, 210,652.52 and 84,665.07 is: 116,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,652.98 : 210,652.52 = 84,665.07 : x
  2. Step 2: Convert to fraction form
    152,652.98/210,652.52 = 84,665.07/x
  3. Step 3: Cross multiply
    152,652.98x = 210,652.52 × 84,665.07
  4. Step 4: Simplify right side
    152,652.98x = 17,834,911,234.97
  5. Step 5: Solve for x
    x = 17,834,911,234.97/152,652.98
  6. Step 6: Final answer
    x = 116,833.04

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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.