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Finding the Fourth Proportional to 301,836.74, 452,473.61 and 102,018.11

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Solution

The fourth proportional to 301,836.74, 452,473.61 and 102,018.11 is: 152,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,836.74 : 452,473.61 = 102,018.11 : x
  2. Step 2: Convert to fraction form
    301,836.74/452,473.61 = 102,018.11/x
  3. Step 3: Cross multiply
    301,836.74x = 452,473.61 × 102,018.11
  4. Step 4: Simplify right side
    301,836.74x = 46,160,499,744.62
  5. Step 5: Solve for x
    x = 46,160,499,744.62/301,836.74
  6. Step 6: Final answer
    x = 152,932.01

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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.