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Finding the Fourth Proportional to 254,893.76, 382,315.92 and 77,402.30

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Solution

The fourth proportional to 254,893.76, 382,315.92 and 77,402.30 is: 116,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893.76 : 382,315.92 = 77,402.30 : x
  2. Step 2: Convert to fraction form
    254,893.76/382,315.92 = 77,402.30/x
  3. Step 3: Cross multiply
    254,893.76x = 382,315.92 × 77,402.30
  4. Step 4: Simplify right side
    254,893.76x = 29,592,131,534.62
  5. Step 5: Solve for x
    x = 29,592,131,534.62/254,893.76
  6. Step 6: Final answer
    x = 116,095.94

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1.5x scale

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.