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Finding the Fourth Proportional to 150,368.93, 225,412.11 and 50,459.05

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Solution

The fourth proportional to 150,368.93, 225,412.11 and 50,459.05 is: 75,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,368.93 : 225,412.11 = 50,459.05 : x
  2. Step 2: Convert to fraction form
    150,368.93/225,412.11 = 50,459.05/x
  3. Step 3: Cross multiply
    150,368.93x = 225,412.11 × 50,459.05
  4. Step 4: Simplify right side
    150,368.93x = 11,374,080,929.10
  5. Step 5: Solve for x
    x = 11,374,080,929.10/150,368.93
  6. Step 6: Final answer
    x = 75,641.16

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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.