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Finding the Fourth Proportional to 186,842.64, 257,848.29 and 101,965.17

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Solution

The fourth proportional to 186,842.64, 257,848.29 and 101,965.17 is: 140,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,842.64 : 257,848.29 = 101,965.17 : x
  2. Step 2: Convert to fraction form
    186,842.64/257,848.29 = 101,965.17/x
  3. Step 3: Cross multiply
    186,842.64x = 257,848.29 × 101,965.17
  4. Step 4: Simplify right side
    186,842.64x = 26,291,544,724.06
  5. Step 5: Solve for x
    x = 26,291,544,724.06/186,842.64
  6. Step 6: Final answer
    x = 140,714.91

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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.