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Finding the Fourth Proportional to 97,402.80, 146,118.80 and 41,242.80

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Solution

The fourth proportional to 97,402.80, 146,118.80 and 41,242.80 is: 61,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.80 : 146,118.80 = 41,242.80 : x
  2. Step 2: Convert to fraction form
    97,402.80/146,118.80 = 41,242.80/x
  3. Step 3: Cross multiply
    97,402.80x = 146,118.80 × 41,242.80
  4. Step 4: Simplify right side
    97,402.80x = 6,026,348,444.64
  5. Step 5: Solve for x
    x = 6,026,348,444.64/97,402.80
  6. Step 6: Final answer
    x = 61,870.38

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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.