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Finding the Fourth Proportional to 201,097.60, 301,646.12 and 51,337.89

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Solution

The fourth proportional to 201,097.60, 301,646.12 and 51,337.89 is: 77,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.60 : 301,646.12 = 51,337.89 : x
  2. Step 2: Convert to fraction form
    201,097.60/301,646.12 = 51,337.89/x
  3. Step 3: Cross multiply
    201,097.60x = 301,646.12 × 51,337.89
  4. Step 4: Simplify right side
    201,097.60x = 15,485,875,070.80
  5. Step 5: Solve for x
    x = 15,485,875,070.80/201,097.60
  6. Step 6: Final answer
    x = 77,006.76

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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.