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Finding the Fourth Proportional to 189,924.96, 262,085.30 and 105,036.42

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Solution

The fourth proportional to 189,924.96, 262,085.30 and 105,036.42 is: 144,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,924.96 : 262,085.30 = 105,036.42 : x
  2. Step 2: Convert to fraction form
    189,924.96/262,085.30 = 105,036.42/x
  3. Step 3: Cross multiply
    189,924.96x = 262,085.30 × 105,036.42
  4. Step 4: Simplify right side
    189,924.96x = 27,528,501,646.63
  5. Step 5: Solve for x
    x = 27,528,501,646.63/189,924.96
  6. Step 6: Final answer
    x = 144,944.10

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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.