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Finding the Fourth Proportional to 129,640, 178,903.32 and 70,024

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Solution

The fourth proportional to 129,640, 178,903.32 and 70,024 is: 96,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 178,903.32 = 70,024 : x
  2. Step 2: Convert to fraction form
    129,640/178,903.32 = 70,024/x
  3. Step 3: Cross multiply
    129,640x = 178,903.32 × 70,024
  4. Step 4: Simplify right side
    129,640x = 12,527,526,079.68
  5. Step 5: Solve for x
    x = 12,527,526,079.68/129,640
  6. Step 6: Final answer
    x = 96,633.18

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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.