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Finding the Fourth Proportional to 102,059.68, 153,101.04 and 42,884.32

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Solution

The fourth proportional to 102,059.68, 153,101.04 and 42,884.32 is: 64,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.68 : 153,101.04 = 42,884.32 : x
  2. Step 2: Convert to fraction form
    102,059.68/153,101.04 = 42,884.32/x
  3. Step 3: Cross multiply
    102,059.68x = 153,101.04 × 42,884.32
  4. Step 4: Simplify right side
    102,059.68x = 6,565,633,991.69
  5. Step 5: Solve for x
    x = 6,565,633,991.69/102,059.68
  6. Step 6: Final answer
    x = 64,331.32

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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.