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Finding the Fourth Proportional to 186,312.72, 257,114.34 and 101,431.20

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Solution

The fourth proportional to 186,312.72, 257,114.34 and 101,431.20 is: 139,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,312.72 : 257,114.34 = 101,431.20 : x
  2. Step 2: Convert to fraction form
    186,312.72/257,114.34 = 101,431.20/x
  3. Step 3: Cross multiply
    186,312.72x = 257,114.34 × 101,431.20
  4. Step 4: Simplify right side
    186,312.72x = 26,079,416,043.41
  5. Step 5: Solve for x
    x = 26,079,416,043.41/186,312.72
  6. Step 6: Final answer
    x = 139,976.57

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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.