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Finding the Fourth Proportional to 178,013.68, 245,659.24 and 97,446.35

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Solution

The fourth proportional to 178,013.68, 245,659.24 and 97,446.35 is: 134,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,013.68 : 245,659.24 = 97,446.35 : x
  2. Step 2: Convert to fraction form
    178,013.68/245,659.24 = 97,446.35/x
  3. Step 3: Cross multiply
    178,013.68x = 245,659.24 × 97,446.35
  4. Step 4: Simplify right side
    178,013.68x = 23,938,595,053.48
  5. Step 5: Solve for x
    x = 23,938,595,053.48/178,013.68
  6. Step 6: Final answer
    x = 134,476.16

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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.