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Finding the Fourth Proportional to 354,931.16, 532,079.40 and 130,239.44

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Solution

The fourth proportional to 354,931.16, 532,079.40 and 130,239.44 is: 195,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,931.16 : 532,079.40 = 130,239.44 : x
  2. Step 2: Convert to fraction form
    354,931.16/532,079.40 = 130,239.44/x
  3. Step 3: Cross multiply
    354,931.16x = 532,079.40 × 130,239.44
  4. Step 4: Simplify right side
    354,931.16x = 69,297,723,091.54
  5. Step 5: Solve for x
    x = 69,297,723,091.54/354,931.16
  6. Step 6: Final answer
    x = 195,242.71

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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.