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Finding the Fourth Proportional to 186,840, 257,955.84 and 119,888.64

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Solution

The fourth proportional to 186,840, 257,955.84 and 119,888.64 is: 165,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,840 : 257,955.84 = 119,888.64 : x
  2. Step 2: Convert to fraction form
    186,840/257,955.84 = 119,888.64/x
  3. Step 3: Cross multiply
    186,840x = 257,955.84 × 119,888.64
  4. Step 4: Simplify right side
    186,840x = 30,925,974,837.66
  5. Step 5: Solve for x
    x = 30,925,974,837.66/186,840
  6. Step 6: Final answer
    x = 165,521.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.