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Finding the Fourth Proportional to 256,114.63, 353,412.92 and 141,385.82

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Solution

The fourth proportional to 256,114.63, 353,412.92 and 141,385.82 is: 195,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.63 : 353,412.92 = 141,385.82 : x
  2. Step 2: Convert to fraction form
    256,114.63/353,412.92 = 141,385.82/x
  3. Step 3: Cross multiply
    256,114.63x = 353,412.92 × 141,385.82
  4. Step 4: Simplify right side
    256,114.63x = 49,967,575,492.79
  5. Step 5: Solve for x
    x = 49,967,575,492.79/256,114.63
  6. Step 6: Final answer
    x = 195,098.48

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1.5x scale

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.