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Finding the Fourth Proportional to 170,820, 255,909.24 and 157,931.28

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Solution

The fourth proportional to 170,820, 255,909.24 and 157,931.28 is: 236,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,820 : 255,909.24 = 157,931.28 : x
  2. Step 2: Convert to fraction form
    170,820/255,909.24 = 157,931.28/x
  3. Step 3: Cross multiply
    170,820x = 255,909.24 × 157,931.28
  4. Step 4: Simplify right side
    170,820x = 40,416,073,837.03
  5. Step 5: Solve for x
    x = 40,416,073,837.03/170,820
  6. Step 6: Final answer
    x = 236,600.36

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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.