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Finding the Fourth Proportional to 164,416.20, 229,657.80 and 164,416.20

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Solution

The fourth proportional to 164,416.20, 229,657.80 and 164,416.20 is: 229,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,416.20 : 229,657.80 = 164,416.20 : x
  2. Step 2: Convert to fraction form
    164,416.20/229,657.80 = 164,416.20/x
  3. Step 3: Cross multiply
    164,416.20x = 229,657.80 × 164,416.20
  4. Step 4: Simplify right side
    164,416.20x = 37,759,462,776.36
  5. Step 5: Solve for x
    x = 37,759,462,776.36/164,416.20
  6. Step 6: Final answer
    x = 229,657.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.