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Finding the Fourth Proportional to 256,084.96, 353,420.76 and 141,384.10

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Solution

The fourth proportional to 256,084.96, 353,420.76 and 141,384.10 is: 195,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084.96 : 353,420.76 = 141,384.10 : x
  2. Step 2: Convert to fraction form
    256,084.96/353,420.76 = 141,384.10/x
  3. Step 3: Cross multiply
    256,084.96x = 353,420.76 × 141,384.10
  4. Step 4: Simplify right side
    256,084.96x = 49,968,076,073.92
  5. Step 5: Solve for x
    x = 49,968,076,073.92/256,084.96
  6. Step 6: Final answer
    x = 195,123.04

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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.