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Finding the Fourth Proportional to 178,051.02, 245,713.32 and 97,477.20

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Solution

The fourth proportional to 178,051.02, 245,713.32 and 97,477.20 is: 134,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,051.02 : 245,713.32 = 97,477.20 : x
  2. Step 2: Convert to fraction form
    178,051.02/245,713.32 = 97,477.20/x
  3. Step 3: Cross multiply
    178,051.02x = 245,713.32 × 97,477.20
  4. Step 4: Simplify right side
    178,051.02x = 23,951,446,436.30
  5. Step 5: Solve for x
    x = 23,951,446,436.30/178,051.02
  6. Step 6: Final answer
    x = 134,520.13

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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.