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Finding the Fourth Proportional to 117,470, 162,047.34 and 72,158.19

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Solution

The fourth proportional to 117,470, 162,047.34 and 72,158.19 is: 99,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,470 : 162,047.34 = 72,158.19 : x
  2. Step 2: Convert to fraction form
    117,470/162,047.34 = 72,158.19/x
  3. Step 3: Cross multiply
    117,470x = 162,047.34 × 72,158.19
  4. Step 4: Simplify right side
    117,470x = 11,693,042,748.71
  5. Step 5: Solve for x
    x = 11,693,042,748.71/117,470
  6. Step 6: Final answer
    x = 99,540.67

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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.