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Finding the Fourth Proportional to 189,192.32, 260,814.11 and 148,836

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Solution

The fourth proportional to 189,192.32, 260,814.11 and 148,836 is: 205,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192.32 : 260,814.11 = 148,836 : x
  2. Step 2: Convert to fraction form
    189,192.32/260,814.11 = 148,836/x
  3. Step 3: Cross multiply
    189,192.32x = 260,814.11 × 148,836
  4. Step 4: Simplify right side
    189,192.32x = 38,818,528,875.96
  5. Step 5: Solve for x
    x = 38,818,528,875.96/189,192.32
  6. Step 6: Final answer
    x = 205,180.26

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