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Finding the Fourth Proportional to 189,094.32, 260,950.16 and 113,642.82

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Solution

The fourth proportional to 189,094.32, 260,950.16 and 113,642.82 is: 156,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.32 : 260,950.16 = 113,642.82 : x
  2. Step 2: Convert to fraction form
    189,094.32/260,950.16 = 113,642.82/x
  3. Step 3: Cross multiply
    189,094.32x = 260,950.16 × 113,642.82
  4. Step 4: Simplify right side
    189,094.32x = 29,655,111,493.64
  5. Step 5: Solve for x
    x = 29,655,111,493.64/189,094.32
  6. Step 6: Final answer
    x = 156,827.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.