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Finding the Fourth Proportional to 218,416.32, 301,424.22 and 122,929.20

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Solution

The fourth proportional to 218,416.32, 301,424.22 and 122,929.20 is: 169,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.32 : 301,424.22 = 122,929.20 : x
  2. Step 2: Convert to fraction form
    218,416.32/301,424.22 = 122,929.20/x
  3. Step 3: Cross multiply
    218,416.32x = 301,424.22 × 122,929.20
  4. Step 4: Simplify right side
    218,416.32x = 37,053,838,225.22
  5. Step 5: Solve for x
    x = 37,053,838,225.22/218,416.32
  6. Step 6: Final answer
    x = 169,647.75

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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.