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Finding the Fourth Proportional to 256,530.32, 354,006.64 and 141,813.80

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Solution

The fourth proportional to 256,530.32, 354,006.64 and 141,813.80 is: 195,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.32 : 354,006.64 = 141,813.80 : x
  2. Step 2: Convert to fraction form
    256,530.32/354,006.64 = 141,813.80/x
  3. Step 3: Cross multiply
    256,530.32x = 354,006.64 × 141,813.80
  4. Step 4: Simplify right side
    256,530.32x = 50,203,026,843.63
  5. Step 5: Solve for x
    x = 50,203,026,843.63/256,530.32
  6. Step 6: Final answer
    x = 195,700.17

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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.