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Finding the Fourth Proportional to 178,199.72, 245,914.88 and 97,627.14

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Solution

The fourth proportional to 178,199.72, 245,914.88 and 97,627.14 is: 134,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,199.72 : 245,914.88 = 97,627.14 : x
  2. Step 2: Convert to fraction form
    178,199.72/245,914.88 = 97,627.14/x
  3. Step 3: Cross multiply
    178,199.72x = 245,914.88 × 97,627.14
  4. Step 4: Simplify right side
    178,199.72x = 24,007,966,417.84
  5. Step 5: Solve for x
    x = 24,007,966,417.84/178,199.72
  6. Step 6: Final answer
    x = 134,725.05

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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.