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Finding the Fourth Proportional to 154,464.60, 231,696.90 and 65,695.80

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Solution

The fourth proportional to 154,464.60, 231,696.90 and 65,695.80 is: 98,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,464.60 : 231,696.90 = 65,695.80 : x
  2. Step 2: Convert to fraction form
    154,464.60/231,696.90 = 65,695.80/x
  3. Step 3: Cross multiply
    154,464.60x = 231,696.90 × 65,695.80
  4. Step 4: Simplify right side
    154,464.60x = 15,221,513,203.02
  5. Step 5: Solve for x
    x = 15,221,513,203.02/154,464.60
  6. Step 6: Final answer
    x = 98,543.70

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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.