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Finding the Fourth Proportional to 185,966.40, 256,699.44 and 110,514

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Solution

The fourth proportional to 185,966.40, 256,699.44 and 110,514 is: 152,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,966.40 : 256,699.44 = 110,514 : x
  2. Step 2: Convert to fraction form
    185,966.40/256,699.44 = 110,514/x
  3. Step 3: Cross multiply
    185,966.40x = 256,699.44 × 110,514
  4. Step 4: Simplify right side
    185,966.40x = 28,368,881,912.16
  5. Step 5: Solve for x
    x = 28,368,881,912.16/185,966.40
  6. Step 6: Final answer
    x = 152,548.43

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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.