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Finding the Fourth Proportional to 164,886.20, 247,329.30 and 111,742.10

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Solution

The fourth proportional to 164,886.20, 247,329.30 and 111,742.10 is: 167,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,886.20 : 247,329.30 = 111,742.10 : x
  2. Step 2: Convert to fraction form
    164,886.20/247,329.30 = 111,742.10/x
  3. Step 3: Cross multiply
    164,886.20x = 247,329.30 × 111,742.10
  4. Step 4: Simplify right side
    164,886.20x = 27,637,095,373.53
  5. Step 5: Solve for x
    x = 27,637,095,373.53/164,886.20
  6. Step 6: Final answer
    x = 167,613.15

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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.