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Finding the Fourth Proportional to 97,320.78, 146,038.82 and 41,157.81

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Solution

The fourth proportional to 97,320.78, 146,038.82 and 41,157.81 is: 61,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320.78 : 146,038.82 = 41,157.81 : x
  2. Step 2: Convert to fraction form
    97,320.78/146,038.82 = 41,157.81/x
  3. Step 3: Cross multiply
    97,320.78x = 146,038.82 × 41,157.81
  4. Step 4: Simplify right side
    97,320.78x = 6,010,637,800.40
  5. Step 5: Solve for x
    x = 6,010,637,800.40/97,320.78
  6. Step 6: Final answer
    x = 61,761.09

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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.