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Finding the Fourth Proportional to 172,872, 238,564.32 and 97,421.76

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Solution

The fourth proportional to 172,872, 238,564.32 and 97,421.76 is: 134,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,872 : 238,564.32 = 97,421.76 : x
  2. Step 2: Convert to fraction form
    172,872/238,564.32 = 97,421.76/x
  3. Step 3: Cross multiply
    172,872x = 238,564.32 × 97,421.76
  4. Step 4: Simplify right side
    172,872x = 23,241,355,927.60
  5. Step 5: Solve for x
    x = 23,241,355,927.60/172,872
  6. Step 6: Final answer
    x = 134,442.57

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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.