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Finding the Fourth Proportional to 200,807.59, 301,051.54 and 99,534.37

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Solution

The fourth proportional to 200,807.59, 301,051.54 and 99,534.37 is: 149,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,807.59 : 301,051.54 = 99,534.37 : x
  2. Step 2: Convert to fraction form
    200,807.59/301,051.54 = 99,534.37/x
  3. Step 3: Cross multiply
    200,807.59x = 301,051.54 × 99,534.37
  4. Step 4: Simplify right side
    200,807.59x = 29,964,974,369.97
  5. Step 5: Solve for x
    x = 29,964,974,369.97/200,807.59
  6. Step 6: Final answer
    x = 149,222.32

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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.