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Finding the Fourth Proportional to 130,395, 179,956.50 and 73,033.38

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Solution

The fourth proportional to 130,395, 179,956.50 and 73,033.38 is: 100,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,395 : 179,956.50 = 73,033.38 : x
  2. Step 2: Convert to fraction form
    130,395/179,956.50 = 73,033.38/x
  3. Step 3: Cross multiply
    130,395x = 179,956.50 × 73,033.38
  4. Step 4: Simplify right side
    130,395x = 13,142,831,447.97
  5. Step 5: Solve for x
    x = 13,142,831,447.97/130,395
  6. Step 6: Final answer
    x = 100,792.45

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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.