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Finding the Fourth Proportional to 289,140.70, 433,127.85 and 164,335.90

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Solution

The fourth proportional to 289,140.70, 433,127.85 and 164,335.90 is: 246,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,140.70 : 433,127.85 = 164,335.90 : x
  2. Step 2: Convert to fraction form
    289,140.70/433,127.85 = 164,335.90/x
  3. Step 3: Cross multiply
    289,140.70x = 433,127.85 × 164,335.90
  4. Step 4: Simplify right side
    289,140.70x = 71,178,455,044.82
  5. Step 5: Solve for x
    x = 71,178,455,044.82/289,140.70
  6. Step 6: Final answer
    x = 246,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.