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Finding the Fourth Proportional to 186,464.34, 257,328.66 and 101,586.06

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Solution

The fourth proportional to 186,464.34, 257,328.66 and 101,586.06 is: 140,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,464.34 : 257,328.66 = 101,586.06 : x
  2. Step 2: Convert to fraction form
    186,464.34/257,328.66 = 101,586.06/x
  3. Step 3: Cross multiply
    186,464.34x = 257,328.66 × 101,586.06
  4. Step 4: Simplify right side
    186,464.34x = 26,141,004,694.48
  5. Step 5: Solve for x
    x = 26,141,004,694.48/186,464.34
  6. Step 6: Final answer
    x = 140,193.05

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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.