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Finding the Fourth Proportional to 178,051.74, 245,714.31 and 97,477.92

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Solution

The fourth proportional to 178,051.74, 245,714.31 and 97,477.92 is: 134,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,051.74 : 245,714.31 = 97,477.92 : x
  2. Step 2: Convert to fraction form
    178,051.74/245,714.31 = 97,477.92/x
  3. Step 3: Cross multiply
    178,051.74x = 245,714.31 × 97,477.92
  4. Step 4: Simplify right side
    178,051.74x = 23,951,719,853.04
  5. Step 5: Solve for x
    x = 23,951,719,853.04/178,051.74
  6. Step 6: Final answer
    x = 134,521.12

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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.