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Finding the Fourth Proportional to 153,374.45, 230,194.53 and 153,019.80

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Solution

The fourth proportional to 153,374.45, 230,194.53 and 153,019.80 is: 229,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,374.45 : 230,194.53 = 153,019.80 : x
  2. Step 2: Convert to fraction form
    153,374.45/230,194.53 = 153,019.80/x
  3. Step 3: Cross multiply
    153,374.45x = 230,194.53 × 153,019.80
  4. Step 4: Simplify right side
    153,374.45x = 35,224,320,941.69
  5. Step 5: Solve for x
    x = 35,224,320,941.69/153,374.45
  6. Step 6: Final answer
    x = 229,662.26

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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.