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Finding the Fourth Proportional to 97,211.40, 145,817.10 and 83,214.60

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Solution

The fourth proportional to 97,211.40, 145,817.10 and 83,214.60 is: 124,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,211.40 : 145,817.10 = 83,214.60 : x
  2. Step 2: Convert to fraction form
    97,211.40/145,817.10 = 83,214.60/x
  3. Step 3: Cross multiply
    97,211.40x = 145,817.10 × 83,214.60
  4. Step 4: Simplify right side
    97,211.40x = 12,134,111,649.66
  5. Step 5: Solve for x
    x = 12,134,111,649.66/97,211.40
  6. Step 6: Final answer
    x = 124,821.90

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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.