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Finding the Fourth Proportional to 153,393.24, 230,404.74 and 100,877.40

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Solution

The fourth proportional to 153,393.24, 230,404.74 and 100,877.40 is: 151,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,393.24 : 230,404.74 = 100,877.40 : x
  2. Step 2: Convert to fraction form
    153,393.24/230,404.74 = 100,877.40/x
  3. Step 3: Cross multiply
    153,393.24x = 230,404.74 × 100,877.40
  4. Step 4: Simplify right side
    153,393.24x = 23,242,631,118.88
  5. Step 5: Solve for x
    x = 23,242,631,118.88/153,393.24
  6. Step 6: Final answer
    x = 151,523.18

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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.