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Finding the Fourth Proportional to 133,051.65, 199,632.15 and 48,852.15

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Solution

The fourth proportional to 133,051.65, 199,632.15 and 48,852.15 is: 73,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.65 : 199,632.15 = 48,852.15 : x
  2. Step 2: Convert to fraction form
    133,051.65/199,632.15 = 48,852.15/x
  3. Step 3: Cross multiply
    133,051.65x = 199,632.15 × 48,852.15
  4. Step 4: Simplify right side
    133,051.65x = 9,752,459,736.62
  5. Step 5: Solve for x
    x = 9,752,459,736.62/133,051.65
  6. Step 6: Final answer
    x = 73,298.30

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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.