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Finding the Fourth Proportional to 103,836.60, 155,754.90 and 64,438.20

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Solution

The fourth proportional to 103,836.60, 155,754.90 and 64,438.20 is: 96,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,836.60 : 155,754.90 = 64,438.20 : x
  2. Step 2: Convert to fraction form
    103,836.60/155,754.90 = 64,438.20/x
  3. Step 3: Cross multiply
    103,836.60x = 155,754.90 × 64,438.20
  4. Step 4: Simplify right side
    103,836.60x = 10,036,565,397.18
  5. Step 5: Solve for x
    x = 10,036,565,397.18/103,836.60
  6. Step 6: Final answer
    x = 96,657.30

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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.