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Finding the Fourth Proportional to 161,567.73, 242,351.73 and 77,308.02

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Solution

The fourth proportional to 161,567.73, 242,351.73 and 77,308.02 is: 115,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,567.73 : 242,351.73 = 77,308.02 : x
  2. Step 2: Convert to fraction form
    161,567.73/242,351.73 = 77,308.02/x
  3. Step 3: Cross multiply
    161,567.73x = 242,351.73 × 77,308.02
  4. Step 4: Simplify right side
    161,567.73x = 18,735,732,389.87
  5. Step 5: Solve for x
    x = 18,735,732,389.87/161,567.73
  6. Step 6: Final answer
    x = 115,962.09

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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.