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Finding the Fourth Proportional to 194,683.76, 268,663.60 and 105,259.76

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Solution

The fourth proportional to 194,683.76, 268,663.60 and 105,259.76 is: 145,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,683.76 : 268,663.60 = 105,259.76 : x
  2. Step 2: Convert to fraction form
    194,683.76/268,663.60 = 105,259.76/x
  3. Step 3: Cross multiply
    194,683.76x = 268,663.60 × 105,259.76
  4. Step 4: Simplify right side
    194,683.76x = 28,279,466,056.74
  5. Step 5: Solve for x
    x = 28,279,466,056.74/194,683.76
  6. Step 6: Final answer
    x = 145,258.47

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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.