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Finding the Fourth Proportional to 260,342.25, 390,363.93 and 102,484.59

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Solution

The fourth proportional to 260,342.25, 390,363.93 and 102,484.59 is: 153,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,342.25 : 390,363.93 = 102,484.59 : x
  2. Step 2: Convert to fraction form
    260,342.25/390,363.93 = 102,484.59/x
  3. Step 3: Cross multiply
    260,342.25x = 390,363.93 × 102,484.59
  4. Step 4: Simplify right side
    260,342.25x = 40,006,287,316.84
  5. Step 5: Solve for x
    x = 40,006,287,316.84/260,342.25
  6. Step 6: Final answer
    x = 153,668.06

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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.