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Finding the Fourth Proportional to 102,265.60, 153,403.60 and 32,145.60

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Solution

The fourth proportional to 102,265.60, 153,403.60 and 32,145.60 is: 48,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,265.60 : 153,403.60 = 32,145.60 : x
  2. Step 2: Convert to fraction form
    102,265.60/153,403.60 = 32,145.60/x
  3. Step 3: Cross multiply
    102,265.60x = 153,403.60 × 32,145.60
  4. Step 4: Simplify right side
    102,265.60x = 4,931,250,764.16
  5. Step 5: Solve for x
    x = 4,931,250,764.16/102,265.60
  6. Step 6: Final answer
    x = 48,220.03

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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.