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Finding the Fourth Proportional to 186,534.16, 257,416.29 and 101,651.20

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Solution

The fourth proportional to 186,534.16, 257,416.29 and 101,651.20 is: 140,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534.16 : 257,416.29 = 101,651.20 : x
  2. Step 2: Convert to fraction form
    186,534.16/257,416.29 = 101,651.20/x
  3. Step 3: Cross multiply
    186,534.16x = 257,416.29 × 101,651.20
  4. Step 4: Simplify right side
    186,534.16x = 26,166,674,778.05
  5. Step 5: Solve for x
    x = 26,166,674,778.05/186,534.16
  6. Step 6: Final answer
    x = 140,278.19

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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.