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Finding the Fourth Proportional to 152,834.40, 214,279.20 and 152,834.40

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Solution

The fourth proportional to 152,834.40, 214,279.20 and 152,834.40 is: 214,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,834.40 : 214,279.20 = 152,834.40 : x
  2. Step 2: Convert to fraction form
    152,834.40/214,279.20 = 152,834.40/x
  3. Step 3: Cross multiply
    152,834.40x = 214,279.20 × 152,834.40
  4. Step 4: Simplify right side
    152,834.40x = 32,749,232,964.48
  5. Step 5: Solve for x
    x = 32,749,232,964.48/152,834.40
  6. Step 6: Final answer
    x = 214,279.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.