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Finding the Fourth Proportional to 180,097.56, 269,931.60 and 83,905.74

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Solution

The fourth proportional to 180,097.56, 269,931.60 and 83,905.74 is: 125,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,097.56 : 269,931.60 = 83,905.74 : x
  2. Step 2: Convert to fraction form
    180,097.56/269,931.60 = 83,905.74/x
  3. Step 3: Cross multiply
    180,097.56x = 269,931.60 × 83,905.74
  4. Step 4: Simplify right side
    180,097.56x = 22,648,810,647.38
  5. Step 5: Solve for x
    x = 22,648,810,647.38/180,097.56
  6. Step 6: Final answer
    x = 125,758.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.