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Finding the Fourth Proportional to 185,688.70, 256,256.55 and 105,114.56

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Solution

The fourth proportional to 185,688.70, 256,256.55 and 105,114.56 is: 145,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,688.70 : 256,256.55 = 105,114.56 : x
  2. Step 2: Convert to fraction form
    185,688.70/256,256.55 = 105,114.56/x
  3. Step 3: Cross multiply
    185,688.70x = 256,256.55 × 105,114.56
  4. Step 4: Simplify right side
    185,688.70x = 26,936,293,219.09
  5. Step 5: Solve for x
    x = 26,936,293,219.09/185,688.70
  6. Step 6: Final answer
    x = 145,061.57

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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.