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Finding the Fourth Proportional to 260,110.40, 390,068.40 and 102,306.20

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Solution

The fourth proportional to 260,110.40, 390,068.40 and 102,306.20 is: 153,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,110.40 : 390,068.40 = 102,306.20 : x
  2. Step 2: Convert to fraction form
    260,110.40/390,068.40 = 102,306.20/x
  3. Step 3: Cross multiply
    260,110.40x = 390,068.40 × 102,306.20
  4. Step 4: Simplify right side
    260,110.40x = 39,906,415,744.08
  5. Step 5: Solve for x
    x = 39,906,415,744.08/260,110.40
  6. Step 6: Final answer
    x = 153,421.07

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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.