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Finding the Fourth Proportional to 178,153.45, 245,851.86 and 97,582.32

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Solution

The fourth proportional to 178,153.45, 245,851.86 and 97,582.32 is: 134,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,153.45 : 245,851.86 = 97,582.32 : x
  2. Step 2: Convert to fraction form
    178,153.45/245,851.86 = 97,582.32/x
  3. Step 3: Cross multiply
    178,153.45x = 245,851.86 × 97,582.32
  4. Step 4: Simplify right side
    178,153.45x = 23,990,794,223.01
  5. Step 5: Solve for x
    x = 23,990,794,223.01/178,153.45
  6. Step 6: Final answer
    x = 134,663.65

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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.