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Finding the Fourth Proportional to 153,563.93, 230,364.35 and 145,165.85

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Solution

The fourth proportional to 153,563.93, 230,364.35 and 145,165.85 is: 217,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.93 : 230,364.35 = 145,165.85 : x
  2. Step 2: Convert to fraction form
    153,563.93/230,364.35 = 145,165.85/x
  3. Step 3: Cross multiply
    153,563.93x = 230,364.35 × 145,165.85
  4. Step 4: Simplify right side
    153,563.93x = 33,441,036,677.45
  5. Step 5: Solve for x
    x = 33,441,036,677.45/153,563.93
  6. Step 6: Final answer
    x = 217,766.22

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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.