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Finding the Fourth Proportional to 260,043.76, 358,867.49 and 146,866.51

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Solution

The fourth proportional to 260,043.76, 358,867.49 and 146,866.51 is: 202,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043.76 : 358,867.49 = 146,866.51 : x
  2. Step 2: Convert to fraction form
    260,043.76/358,867.49 = 146,866.51/x
  3. Step 3: Cross multiply
    260,043.76x = 358,867.49 × 146,866.51
  4. Step 4: Simplify right side
    260,043.76x = 52,705,615,808.76
  5. Step 5: Solve for x
    x = 52,705,615,808.76/260,043.76
  6. Step 6: Final answer
    x = 202,679.79

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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.