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Finding the Fourth Proportional to 204,024.30, 306,036.45 and 110,712.30

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Solution

The fourth proportional to 204,024.30, 306,036.45 and 110,712.30 is: 166,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024.30 : 306,036.45 = 110,712.30 : x
  2. Step 2: Convert to fraction form
    204,024.30/306,036.45 = 110,712.30/x
  3. Step 3: Cross multiply
    204,024.30x = 306,036.45 × 110,712.30
  4. Step 4: Simplify right side
    204,024.30x = 33,881,999,263.34
  5. Step 5: Solve for x
    x = 33,881,999,263.34/204,024.30
  6. Step 6: Final answer
    x = 166,068.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.