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Finding the Fourth Proportional to 248,536.16, 342,968.16 and 141,092

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Solution

The fourth proportional to 248,536.16, 342,968.16 and 141,092 is: 194,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,536.16 : 342,968.16 = 141,092 : x
  2. Step 2: Convert to fraction form
    248,536.16/342,968.16 = 141,092/x
  3. Step 3: Cross multiply
    248,536.16x = 342,968.16 × 141,092
  4. Step 4: Simplify right side
    248,536.16x = 48,390,063,630.72
  5. Step 5: Solve for x
    x = 48,390,063,630.72/248,536.16
  6. Step 6: Final answer
    x = 194,700.29

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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.