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Finding the Fourth Proportional to 76,802.40, 107,834.40 and 76,802.40

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Solution

The fourth proportional to 76,802.40, 107,834.40 and 76,802.40 is: 107,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.40 : 107,834.40 = 76,802.40 : x
  2. Step 2: Convert to fraction form
    76,802.40/107,834.40 = 76,802.40/x
  3. Step 3: Cross multiply
    76,802.40x = 107,834.40 × 76,802.40
  4. Step 4: Simplify right side
    76,802.40x = 8,281,940,722.56
  5. Step 5: Solve for x
    x = 8,281,940,722.56/76,802.40
  6. Step 6: Final answer
    x = 107,834.40

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1.5x scale

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.