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Finding the Fourth Proportional to 301,241.66, 451,547.22 and 101,493.02

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Solution

The fourth proportional to 301,241.66, 451,547.22 and 101,493.02 is: 152,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,241.66 : 451,547.22 = 101,493.02 : x
  2. Step 2: Convert to fraction form
    301,241.66/451,547.22 = 101,493.02/x
  3. Step 3: Cross multiply
    301,241.66x = 451,547.22 × 101,493.02
  4. Step 4: Simplify right side
    301,241.66x = 45,828,891,030.40
  5. Step 5: Solve for x
    x = 45,828,891,030.40/301,241.66
  6. Step 6: Final answer
    x = 152,133.31

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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.