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Finding the Fourth Proportional to 187,005.60, 258,069.78 and 102,125.16

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Solution

The fourth proportional to 187,005.60, 258,069.78 and 102,125.16 is: 140,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,005.60 : 258,069.78 = 102,125.16 : x
  2. Step 2: Convert to fraction form
    187,005.60/258,069.78 = 102,125.16/x
  3. Step 3: Cross multiply
    187,005.60x = 258,069.78 × 102,125.16
  4. Step 4: Simplify right side
    187,005.60x = 26,355,417,573.66
  5. Step 5: Solve for x
    x = 26,355,417,573.66/187,005.60
  6. Step 6: Final answer
    x = 140,933.84

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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.