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Finding the Fourth Proportional to 117,345, 175,861.98 and 97,749.48

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Solution

The fourth proportional to 117,345, 175,861.98 and 97,749.48 is: 146,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,345 : 175,861.98 = 97,749.48 : x
  2. Step 2: Convert to fraction form
    117,345/175,861.98 = 97,749.48/x
  3. Step 3: Cross multiply
    117,345x = 175,861.98 × 97,749.48
  4. Step 4: Simplify right side
    117,345x = 17,190,417,096.77
  5. Step 5: Solve for x
    x = 17,190,417,096.77/117,345
  6. Step 6: Final answer
    x = 146,494.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.