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Finding the Fourth Proportional to 178,097.58, 245,774.66 and 97,530.03

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Solution

The fourth proportional to 178,097.58, 245,774.66 and 97,530.03 is: 134,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.58 : 245,774.66 = 97,530.03 : x
  2. Step 2: Convert to fraction form
    178,097.58/245,774.66 = 97,530.03/x
  3. Step 3: Cross multiply
    178,097.58x = 245,774.66 × 97,530.03
  4. Step 4: Simplify right side
    178,097.58x = 23,970,409,475.39
  5. Step 5: Solve for x
    x = 23,970,409,475.39/178,097.58
  6. Step 6: Final answer
    x = 134,591.44

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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.