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Finding the Fourth Proportional to 306,404.88, 459,681.14 and 96,042.81

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Solution

The fourth proportional to 306,404.88, 459,681.14 and 96,042.81 is: 144,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,404.88 : 459,681.14 = 96,042.81 : x
  2. Step 2: Convert to fraction form
    306,404.88/459,681.14 = 96,042.81/x
  3. Step 3: Cross multiply
    306,404.88x = 459,681.14 × 96,042.81
  4. Step 4: Simplify right side
    306,404.88x = 44,149,070,353.51
  5. Step 5: Solve for x
    x = 44,149,070,353.51/306,404.88
  6. Step 6: Final answer
    x = 144,087.36

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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.