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Finding the Fourth Proportional to 117,832.60, 176,749.22 and 97,031.52

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Solution

The fourth proportional to 117,832.60, 176,749.22 and 97,031.52 is: 145,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832.60 : 176,749.22 = 97,031.52 : x
  2. Step 2: Convert to fraction form
    117,832.60/176,749.22 = 97,031.52/x
  3. Step 3: Cross multiply
    117,832.60x = 176,749.22 × 97,031.52
  4. Step 4: Simplify right side
    117,832.60x = 17,150,245,475.41
  5. Step 5: Solve for x
    x = 17,150,245,475.41/117,832.60
  6. Step 6: Final answer
    x = 145,547.54

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Why These Related Problems?

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