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Finding the Fourth Proportional to 170,830, 255,924.24 and 157,941.28

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Solution

The fourth proportional to 170,830, 255,924.24 and 157,941.28 is: 236,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,830 : 255,924.24 = 157,941.28 : x
  2. Step 2: Convert to fraction form
    170,830/255,924.24 = 157,941.28/x
  3. Step 3: Cross multiply
    170,830x = 255,924.24 × 157,941.28
  4. Step 4: Simplify right side
    170,830x = 40,421,002,048.63
  5. Step 5: Solve for x
    x = 40,421,002,048.63/170,830
  6. Step 6: Final answer
    x = 236,615.36

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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.