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Finding the Fourth Proportional to 260,442, 359,412.12 and 141,210

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Solution

The fourth proportional to 260,442, 359,412.12 and 141,210 is: 194,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,442 : 359,412.12 = 141,210 : x
  2. Step 2: Convert to fraction form
    260,442/359,412.12 = 141,210/x
  3. Step 3: Cross multiply
    260,442x = 359,412.12 × 141,210
  4. Step 4: Simplify right side
    260,442x = 50,752,585,465.20
  5. Step 5: Solve for x
    x = 50,752,585,465.20/260,442
  6. Step 6: Final answer
    x = 194,870.97

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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.