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Finding the Fourth Proportional to 289,172.34, 399,141.81 and 176,200.02

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Solution

The fourth proportional to 289,172.34, 399,141.81 and 176,200.02 is: 243,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,172.34 : 399,141.81 = 176,200.02 : x
  2. Step 2: Convert to fraction form
    289,172.34/399,141.81 = 176,200.02/x
  3. Step 3: Cross multiply
    289,172.34x = 399,141.81 × 176,200.02
  4. Step 4: Simplify right side
    289,172.34x = 70,328,794,904.84
  5. Step 5: Solve for x
    x = 70,328,794,904.84/289,172.34
  6. Step 6: Final answer
    x = 243,207.20

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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.