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Finding the Fourth Proportional to 188,030.74, 282,041.46 and 45,877

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Solution

The fourth proportional to 188,030.74, 282,041.46 and 45,877 is: 68,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,030.74 : 282,041.46 = 45,877 : x
  2. Step 2: Convert to fraction form
    188,030.74/282,041.46 = 45,877/x
  3. Step 3: Cross multiply
    188,030.74x = 282,041.46 × 45,877
  4. Step 4: Simplify right side
    188,030.74x = 12,939,216,060.42
  5. Step 5: Solve for x
    x = 12,939,216,060.42/188,030.74
  6. Step 6: Final answer
    x = 68,814.37

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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.