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Finding the Fourth Proportional to 256,602.96, 354,113.28 and 143,423.28

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Solution

The fourth proportional to 256,602.96, 354,113.28 and 143,423.28 is: 197,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,602.96 : 354,113.28 = 143,423.28 : x
  2. Step 2: Convert to fraction form
    256,602.96/354,113.28 = 143,423.28/x
  3. Step 3: Cross multiply
    256,602.96x = 354,113.28 × 143,423.28
  4. Step 4: Simplify right side
    256,602.96x = 50,788,088,109.16
  5. Step 5: Solve for x
    x = 50,788,088,109.16/256,602.96
  6. Step 6: Final answer
    x = 197,924.79

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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.