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Finding the Fourth Proportional to 176,071.14, 243,072.32 and 137,749.23

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Solution

The fourth proportional to 176,071.14, 243,072.32 and 137,749.23 is: 190,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,071.14 : 243,072.32 = 137,749.23 : x
  2. Step 2: Convert to fraction form
    176,071.14/243,072.32 = 137,749.23/x
  3. Step 3: Cross multiply
    176,071.14x = 243,072.32 × 137,749.23
  4. Step 4: Simplify right side
    176,071.14x = 33,483,024,225.57
  5. Step 5: Solve for x
    x = 33,483,024,225.57/176,071.14
  6. Step 6: Final answer
    x = 190,167.59

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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.