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Finding the Fourth Proportional to 187,707.72, 259,036.70 and 102,827.80

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Solution

The fourth proportional to 187,707.72, 259,036.70 and 102,827.80 is: 141,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,707.72 : 259,036.70 = 102,827.80 : x
  2. Step 2: Convert to fraction form
    187,707.72/259,036.70 = 102,827.80/x
  3. Step 3: Cross multiply
    187,707.72x = 259,036.70 × 102,827.80
  4. Step 4: Simplify right side
    187,707.72x = 26,636,173,980.26
  5. Step 5: Solve for x
    x = 26,636,173,980.26/187,707.72
  6. Step 6: Final answer
    x = 141,902.39

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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.