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Finding the Fourth Proportional to 154,090.64, 230,957.76 and 65,210.96

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Solution

The fourth proportional to 154,090.64, 230,957.76 and 65,210.96 is: 97,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,090.64 : 230,957.76 = 65,210.96 : x
  2. Step 2: Convert to fraction form
    154,090.64/230,957.76 = 65,210.96/x
  3. Step 3: Cross multiply
    154,090.64x = 230,957.76 × 65,210.96
  4. Step 4: Simplify right side
    154,090.64x = 15,060,977,249.05
  5. Step 5: Solve for x
    x = 15,060,977,249.05/154,090.64
  6. Step 6: Final answer
    x = 97,741.03

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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.