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Finding the Fourth Proportional to 307,365.84, 461,065.16 and 96,987.38

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Solution

The fourth proportional to 307,365.84, 461,065.16 and 96,987.38 is: 145,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,365.84 : 461,065.16 = 96,987.38 : x
  2. Step 2: Convert to fraction form
    307,365.84/461,065.16 = 96,987.38/x
  3. Step 3: Cross multiply
    307,365.84x = 461,065.16 × 96,987.38
  4. Step 4: Simplify right side
    307,365.84x = 44,717,499,814.82
  5. Step 5: Solve for x
    x = 44,717,499,814.82/307,365.84
  6. Step 6: Final answer
    x = 145,486.24

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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.