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Finding the Fourth Proportional to 102,485.32, 153,512.69 and 65,026.10

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Solution

The fourth proportional to 102,485.32, 153,512.69 and 65,026.10 is: 97,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.32 : 153,512.69 = 65,026.10 : x
  2. Step 2: Convert to fraction form
    102,485.32/153,512.69 = 65,026.10/x
  3. Step 3: Cross multiply
    102,485.32x = 153,512.69 × 65,026.10
  4. Step 4: Simplify right side
    102,485.32x = 9,982,331,589.86
  5. Step 5: Solve for x
    x = 9,982,331,589.86/102,485.32
  6. Step 6: Final answer
    x = 97,402.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.