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Finding the Fourth Proportional to 100,853.90, 145,416.24 and 100,853.90

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Solution

The fourth proportional to 100,853.90, 145,416.24 and 100,853.90 is: 145,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853.90 : 145,416.24 = 100,853.90 : x
  2. Step 2: Convert to fraction form
    100,853.90/145,416.24 = 100,853.90/x
  3. Step 3: Cross multiply
    100,853.90x = 145,416.24 × 100,853.90
  4. Step 4: Simplify right side
    100,853.90x = 14,665,794,927.34
  5. Step 5: Solve for x
    x = 14,665,794,927.34/100,853.90
  6. Step 6: Final answer
    x = 145,416.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.