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Finding the Fourth Proportional to 187,141.63, 258,261.83 and 102,264.16

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Solution

The fourth proportional to 187,141.63, 258,261.83 and 102,264.16 is: 141,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,141.63 : 258,261.83 = 102,264.16 : x
  2. Step 2: Convert to fraction form
    187,141.63/258,261.83 = 102,264.16/x
  3. Step 3: Cross multiply
    187,141.63x = 258,261.83 × 102,264.16
  4. Step 4: Simplify right side
    187,141.63x = 26,410,927,302.38
  5. Step 5: Solve for x
    x = 26,410,927,302.38/187,141.63
  6. Step 6: Final answer
    x = 141,128.02

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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.