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Finding the Fourth Proportional to 256,570.30, 354,056.56 and 141,841.64

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Solution

The fourth proportional to 256,570.30, 354,056.56 and 141,841.64 is: 195,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,570.30 : 354,056.56 = 141,841.64 : x
  2. Step 2: Convert to fraction form
    256,570.30/354,056.56 = 141,841.64/x
  3. Step 3: Cross multiply
    256,570.30x = 354,056.56 × 141,841.64
  4. Step 4: Simplify right side
    256,570.30x = 50,219,963,123.16
  5. Step 5: Solve for x
    x = 50,219,963,123.16/256,570.30
  6. Step 6: Final answer
    x = 195,735.68

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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.