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Finding the Fourth Proportional to 178,171.84, 245,881.10 and 101,689.40

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Solution

The fourth proportional to 178,171.84, 245,881.10 and 101,689.40 is: 140,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,171.84 : 245,881.10 = 101,689.40 : x
  2. Step 2: Convert to fraction form
    178,171.84/245,881.10 = 101,689.40/x
  3. Step 3: Cross multiply
    178,171.84x = 245,881.10 × 101,689.40
  4. Step 4: Simplify right side
    178,171.84x = 25,003,501,530.34
  5. Step 5: Solve for x
    x = 25,003,501,530.34/178,171.84
  6. Step 6: Final answer
    x = 140,333.63

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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.