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Finding the Fourth Proportional to 241,457.40, 362,184.30 and 72,977.40

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Solution

The fourth proportional to 241,457.40, 362,184.30 and 72,977.40 is: 109,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,457.40 : 362,184.30 = 72,977.40 : x
  2. Step 2: Convert to fraction form
    241,457.40/362,184.30 = 72,977.40/x
  3. Step 3: Cross multiply
    241,457.40x = 362,184.30 × 72,977.40
  4. Step 4: Simplify right side
    241,457.40x = 26,431,268,534.82
  5. Step 5: Solve for x
    x = 26,431,268,534.82/241,457.40
  6. Step 6: Final answer
    x = 109,465.56

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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.