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Finding the Fourth Proportional to 260,746.47, 359,830.28 and 141,514.47

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Solution

The fourth proportional to 260,746.47, 359,830.28 and 141,514.47 is: 195,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,746.47 : 359,830.28 = 141,514.47 : x
  2. Step 2: Convert to fraction form
    260,746.47/359,830.28 = 141,514.47/x
  3. Step 3: Cross multiply
    260,746.47x = 359,830.28 × 141,514.47
  4. Step 4: Simplify right side
    260,746.47x = 50,921,190,656.58
  5. Step 5: Solve for x
    x = 50,921,190,656.58/260,746.47
  6. Step 6: Final answer
    x = 195,290.05

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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.