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Finding the Fourth Proportional to 186,357.32, 257,166.09 and 113,881.40

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Solution

The fourth proportional to 186,357.32, 257,166.09 and 113,881.40 is: 157,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,357.32 : 257,166.09 = 113,881.40 : x
  2. Step 2: Convert to fraction form
    186,357.32/257,166.09 = 113,881.40/x
  3. Step 3: Cross multiply
    186,357.32x = 257,166.09 × 113,881.40
  4. Step 4: Simplify right side
    186,357.32x = 29,286,434,719.94
  5. Step 5: Solve for x
    x = 29,286,434,719.94/186,357.32
  6. Step 6: Final answer
    x = 157,152.05

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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.