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Finding the Fourth Proportional to 301,737, 452,605.50 and 77,097.94

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Solution

The fourth proportional to 301,737, 452,605.50 and 77,097.94 is: 115,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,737 : 452,605.50 = 77,097.94 : x
  2. Step 2: Convert to fraction form
    301,737/452,605.50 = 77,097.94/x
  3. Step 3: Cross multiply
    301,737x = 452,605.50 × 77,097.94
  4. Step 4: Simplify right side
    301,737x = 34,894,951,682.67
  5. Step 5: Solve for x
    x = 34,894,951,682.67/301,737
  6. Step 6: Final answer
    x = 115,646.91

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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.