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Finding the Fourth Proportional to 178,095.30, 245,767.12 and 97,526.22

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Solution

The fourth proportional to 178,095.30, 245,767.12 and 97,526.22 is: 134,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,095.30 : 245,767.12 = 97,526.22 : x
  2. Step 2: Convert to fraction form
    178,095.30/245,767.12 = 97,526.22/x
  3. Step 3: Cross multiply
    178,095.30x = 245,767.12 × 97,526.22
  4. Step 4: Simplify right side
    178,095.30x = 23,968,738,213.89
  5. Step 5: Solve for x
    x = 23,968,738,213.89/178,095.30
  6. Step 6: Final answer
    x = 134,583.78

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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.