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Finding the Fourth Proportional to 178,078.79, 245,748.74 and 97,511.24

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Solution

The fourth proportional to 178,078.79, 245,748.74 and 97,511.24 is: 134,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,078.79 : 245,748.74 = 97,511.24 : x
  2. Step 2: Convert to fraction form
    178,078.79/245,748.74 = 97,511.24/x
  3. Step 3: Cross multiply
    178,078.79x = 245,748.74 × 97,511.24
  4. Step 4: Simplify right side
    178,078.79x = 23,963,262,649.54
  5. Step 5: Solve for x
    x = 23,963,262,649.54/178,078.79
  6. Step 6: Final answer
    x = 134,565.51

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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.