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Finding the Fourth Proportional to 289,253.50, 433,887.93 and 92,261.50

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Solution

The fourth proportional to 289,253.50, 433,887.93 and 92,261.50 is: 138,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.50 : 433,887.93 = 92,261.50 : x
  2. Step 2: Convert to fraction form
    289,253.50/433,887.93 = 92,261.50/x
  3. Step 3: Cross multiply
    289,253.50x = 433,887.93 × 92,261.50
  4. Step 4: Simplify right side
    289,253.50x = 40,031,151,253.70
  5. Step 5: Solve for x
    x = 40,031,151,253.70/289,253.50
  6. Step 6: Final answer
    x = 138,394.70

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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.