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Finding the Fourth Proportional to 102,603.32, 153,917.24 and 97,004.60

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Solution

The fourth proportional to 102,603.32, 153,917.24 and 97,004.60 is: 145,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,603.32 : 153,917.24 = 97,004.60 : x
  2. Step 2: Convert to fraction form
    102,603.32/153,917.24 = 97,004.60/x
  3. Step 3: Cross multiply
    102,603.32x = 153,917.24 × 97,004.60
  4. Step 4: Simplify right side
    102,603.32x = 14,930,680,299.30
  5. Step 5: Solve for x
    x = 14,930,680,299.30/102,603.32
  6. Step 6: Final answer
    x = 145,518.49

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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.