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Finding the Fourth Proportional to 174,647.61, 261,784.89 and 99,606.20

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Solution

The fourth proportional to 174,647.61, 261,784.89 and 99,606.20 is: 149,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,647.61 : 261,784.89 = 99,606.20 : x
  2. Step 2: Convert to fraction form
    174,647.61/261,784.89 = 99,606.20/x
  3. Step 3: Cross multiply
    174,647.61x = 261,784.89 × 99,606.20
  4. Step 4: Simplify right side
    174,647.61x = 26,075,396,801.39
  5. Step 5: Solve for x
    x = 26,075,396,801.39/174,647.61
  6. Step 6: Final answer
    x = 149,302.91

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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.