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Finding the Fourth Proportional to 168,714.54, 232,814.98 and 97,083

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Solution

The fourth proportional to 168,714.54, 232,814.98 and 97,083 is: 133,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,714.54 : 232,814.98 = 97,083 : x
  2. Step 2: Convert to fraction form
    168,714.54/232,814.98 = 97,083/x
  3. Step 3: Cross multiply
    168,714.54x = 232,814.98 × 97,083
  4. Step 4: Simplify right side
    168,714.54x = 22,602,376,703.34
  5. Step 5: Solve for x
    x = 22,602,376,703.34/168,714.54
  6. Step 6: Final answer
    x = 133,968.16

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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.