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Finding the Fourth Proportional to 253,502.76, 380,627.94 and 141,402

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Solution

The fourth proportional to 253,502.76, 380,627.94 and 141,402 is: 212,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,502.76 : 380,627.94 = 141,402 : x
  2. Step 2: Convert to fraction form
    253,502.76/380,627.94 = 141,402/x
  3. Step 3: Cross multiply
    253,502.76x = 380,627.94 × 141,402
  4. Step 4: Simplify right side
    253,502.76x = 53,821,551,971.88
  5. Step 5: Solve for x
    x = 53,821,551,971.88/253,502.76
  6. Step 6: Final answer
    x = 212,311.50

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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.