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Finding the Fourth Proportional to 187,108.16, 258,212.64 and 102,228.80

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Solution

The fourth proportional to 187,108.16, 258,212.64 and 102,228.80 is: 141,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,108.16 : 258,212.64 = 102,228.80 : x
  2. Step 2: Convert to fraction form
    187,108.16/258,212.64 = 102,228.80/x
  3. Step 3: Cross multiply
    187,108.16x = 258,212.64 × 102,228.80
  4. Step 4: Simplify right side
    187,108.16x = 26,396,768,332.03
  5. Step 5: Solve for x
    x = 26,396,768,332.03/187,108.16
  6. Step 6: Final answer
    x = 141,077.59

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