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Finding the Fourth Proportional to 260,113.54, 358,994.80 and 152,742.36

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Solution

The fourth proportional to 260,113.54, 358,994.80 and 152,742.36 is: 210,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,113.54 : 358,994.80 = 152,742.36 : x
  2. Step 2: Convert to fraction form
    260,113.54/358,994.80 = 152,742.36/x
  3. Step 3: Cross multiply
    260,113.54x = 358,994.80 × 152,742.36
  4. Step 4: Simplify right side
    260,113.54x = 54,833,712,979.73
  5. Step 5: Solve for x
    x = 54,833,712,979.73/260,113.54
  6. Step 6: Final answer
    x = 210,806.84

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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.