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Finding the Fourth Proportional to 189,192.44, 260,814.29 and 148,836.13

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Solution

The fourth proportional to 189,192.44, 260,814.29 and 148,836.13 is: 205,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192.44 : 260,814.29 = 148,836.13 : x
  2. Step 2: Convert to fraction form
    189,192.44/260,814.29 = 148,836.13/x
  3. Step 3: Cross multiply
    189,192.44x = 260,814.29 × 148,836.13
  4. Step 4: Simplify right side
    189,192.44x = 38,818,588,176.08
  5. Step 5: Solve for x
    x = 38,818,588,176.08/189,192.44
  6. Step 6: Final answer
    x = 205,180.44

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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.