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Finding the Fourth Proportional to 187,095.14, 258,185.51 and 106,534.16

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Solution

The fourth proportional to 187,095.14, 258,185.51 and 106,534.16 is: 147,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,095.14 : 258,185.51 = 106,534.16 : x
  2. Step 2: Convert to fraction form
    187,095.14/258,185.51 = 106,534.16/x
  3. Step 3: Cross multiply
    187,095.14x = 258,185.51 × 106,534.16
  4. Step 4: Simplify right side
    187,095.14x = 27,505,574,608.42
  5. Step 5: Solve for x
    x = 27,505,574,608.42/187,095.14
  6. Step 6: Final answer
    x = 147,013.84

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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.