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Finding the Fourth Proportional to 178,129.60, 245,824.44 and 97,564.84

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Solution

The fourth proportional to 178,129.60, 245,824.44 and 97,564.84 is: 134,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,129.60 : 245,824.44 = 97,564.84 : x
  2. Step 2: Convert to fraction form
    178,129.60/245,824.44 = 97,564.84/x
  3. Step 3: Cross multiply
    178,129.60x = 245,824.44 × 97,564.84
  4. Step 4: Simplify right side
    178,129.60x = 23,983,822,156.69
  5. Step 5: Solve for x
    x = 23,983,822,156.69/178,129.60
  6. Step 6: Final answer
    x = 134,642.54

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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.