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Finding the Fourth Proportional to 186,333.16, 257,126.79 and 105,762.33

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Solution

The fourth proportional to 186,333.16, 257,126.79 and 105,762.33 is: 145,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,333.16 : 257,126.79 = 105,762.33 : x
  2. Step 2: Convert to fraction form
    186,333.16/257,126.79 = 105,762.33/x
  3. Step 3: Cross multiply
    186,333.16x = 257,126.79 × 105,762.33
  4. Step 4: Simplify right side
    186,333.16x = 27,194,328,415.82
  5. Step 5: Solve for x
    x = 27,194,328,415.82/186,333.16
  6. Step 6: Final answer
    x = 145,944.65

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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.