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Finding the Fourth Proportional to 102,002.40, 153,003.60 and 101,419.20

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Solution

The fourth proportional to 102,002.40, 153,003.60 and 101,419.20 is: 152,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.40 : 153,003.60 = 101,419.20 : x
  2. Step 2: Convert to fraction form
    102,002.40/153,003.60 = 101,419.20/x
  3. Step 3: Cross multiply
    102,002.40x = 153,003.60 × 101,419.20
  4. Step 4: Simplify right side
    102,002.40x = 15,517,502,709.12
  5. Step 5: Solve for x
    x = 15,517,502,709.12/102,002.40
  6. Step 6: Final answer
    x = 152,128.80

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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.