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Finding the Fourth Proportional to 143,792.60, 215,732.10 and 102,320.60

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Solution

The fourth proportional to 143,792.60, 215,732.10 and 102,320.60 is: 153,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,792.60 : 215,732.10 = 102,320.60 : x
  2. Step 2: Convert to fraction form
    143,792.60/215,732.10 = 102,320.60/x
  3. Step 3: Cross multiply
    143,792.60x = 215,732.10 × 102,320.60
  4. Step 4: Simplify right side
    143,792.60x = 22,073,837,911.26
  5. Step 5: Solve for x
    x = 22,073,837,911.26/143,792.60
  6. Step 6: Final answer
    x = 153,511.64

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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.