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Finding the Fourth Proportional to 260,547.84, 390,743.52 and 110,786.88

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Solution

The fourth proportional to 260,547.84, 390,743.52 and 110,786.88 is: 166,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,547.84 : 390,743.52 = 110,786.88 : x
  2. Step 2: Convert to fraction form
    260,547.84/390,743.52 = 110,786.88/x
  3. Step 3: Cross multiply
    260,547.84x = 390,743.52 × 110,786.88
  4. Step 4: Simplify right side
    260,547.84x = 43,289,255,461.02
  5. Step 5: Solve for x
    x = 43,289,255,461.02/260,547.84
  6. Step 6: Final answer
    x = 166,147.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.