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Finding the Fourth Proportional to 200,807.60, 301,051.55 and 99,534.38

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Solution

The fourth proportional to 200,807.60, 301,051.55 and 99,534.38 is: 149,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,807.60 : 301,051.55 = 99,534.38 : x
  2. Step 2: Convert to fraction form
    200,807.60/301,051.55 = 99,534.38/x
  3. Step 3: Cross multiply
    200,807.60x = 301,051.55 × 99,534.38
  4. Step 4: Simplify right side
    200,807.60x = 29,964,977,374.36
  5. Step 5: Solve for x
    x = 29,964,977,374.36/200,807.60
  6. Step 6: Final answer
    x = 149,222.33

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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.