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Finding the Fourth Proportional to 210,880.21, 316,320.72 and 53,107.60

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Solution

The fourth proportional to 210,880.21, 316,320.72 and 53,107.60 is: 79,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,880.21 : 316,320.72 = 53,107.60 : x
  2. Step 2: Convert to fraction form
    210,880.21/316,320.72 = 53,107.60/x
  3. Step 3: Cross multiply
    210,880.21x = 316,320.72 × 53,107.60
  4. Step 4: Simplify right side
    210,880.21x = 16,799,034,269.47
  5. Step 5: Solve for x
    x = 16,799,034,269.47/210,880.21
  6. Step 6: Final answer
    x = 79,661.50

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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.