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Finding the Fourth Proportional to 256,530.96, 354,004.74 and 141,802.74

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Solution

The fourth proportional to 256,530.96, 354,004.74 and 141,802.74 is: 195,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.96 : 354,004.74 = 141,802.74 : x
  2. Step 2: Convert to fraction form
    256,530.96/354,004.74 = 141,802.74/x
  3. Step 3: Cross multiply
    256,530.96x = 354,004.74 × 141,802.74
  4. Step 4: Simplify right side
    256,530.96x = 50,198,842,104.99
  5. Step 5: Solve for x
    x = 50,198,842,104.99/256,530.96
  6. Step 6: Final answer
    x = 195,683.37

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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.