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Finding the Fourth Proportional to 178,031.92, 245,674.56 and 97,443.84

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Solution

The fourth proportional to 178,031.92, 245,674.56 and 97,443.84 is: 134,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,031.92 : 245,674.56 = 97,443.84 : x
  2. Step 2: Convert to fraction form
    178,031.92/245,674.56 = 97,443.84/x
  3. Step 3: Cross multiply
    178,031.92x = 245,674.56 × 97,443.84
  4. Step 4: Simplify right side
    178,031.92x = 23,939,472,516.71
  5. Step 5: Solve for x
    x = 23,939,472,516.71/178,031.92
  6. Step 6: Final answer
    x = 134,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.