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Finding the Fourth Proportional to 209,952.60, 314,834.10 and 60,158.64

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Solution

The fourth proportional to 209,952.60, 314,834.10 and 60,158.64 is: 90,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.60 : 314,834.10 = 60,158.64 : x
  2. Step 2: Convert to fraction form
    209,952.60/314,834.10 = 60,158.64/x
  3. Step 3: Cross multiply
    209,952.60x = 314,834.10 × 60,158.64
  4. Step 4: Simplify right side
    209,952.60x = 18,939,991,281.62
  5. Step 5: Solve for x
    x = 18,939,991,281.62/209,952.60
  6. Step 6: Final answer
    x = 90,210.80

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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.