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Finding the Fourth Proportional to 256,465.58, 353,921.27 and 141,752.30

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Solution

The fourth proportional to 256,465.58, 353,921.27 and 141,752.30 is: 195,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,465.58 : 353,921.27 = 141,752.30 : x
  2. Step 2: Convert to fraction form
    256,465.58/353,921.27 = 141,752.30/x
  3. Step 3: Cross multiply
    256,465.58x = 353,921.27 × 141,752.30
  4. Step 4: Simplify right side
    256,465.58x = 50,169,151,563.05
  5. Step 5: Solve for x
    x = 50,169,151,563.05/256,465.58
  6. Step 6: Final answer
    x = 195,617.49

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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.