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Finding the Fourth Proportional to 172,483.14, 238,026.37 and 97,031.64

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Solution

The fourth proportional to 172,483.14, 238,026.37 and 97,031.64 is: 133,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,483.14 : 238,026.37 = 97,031.64 : x
  2. Step 2: Convert to fraction form
    172,483.14/238,026.37 = 97,031.64/x
  3. Step 3: Cross multiply
    172,483.14x = 238,026.37 × 97,031.64
  4. Step 4: Simplify right side
    172,483.14x = 23,096,088,559.19
  5. Step 5: Solve for x
    x = 23,096,088,559.19/172,483.14
  6. Step 6: Final answer
    x = 133,903.46

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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.