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Finding the Fourth Proportional to 182,073, 251,275.70 and 100,417.22

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Solution

The fourth proportional to 182,073, 251,275.70 and 100,417.22 is: 138,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,073 : 251,275.70 = 100,417.22 : x
  2. Step 2: Convert to fraction form
    182,073/251,275.70 = 100,417.22/x
  3. Step 3: Cross multiply
    182,073x = 251,275.70 × 100,417.22
  4. Step 4: Simplify right side
    182,073x = 25,232,407,247.55
  5. Step 5: Solve for x
    x = 25,232,407,247.55/182,073
  6. Step 6: Final answer
    x = 138,584.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.