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Finding the Fourth Proportional to 178,029, 245,680.02 and 98,541

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Solution

The fourth proportional to 178,029, 245,680.02 and 98,541 is: 135,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,029 : 245,680.02 = 98,541 : x
  2. Step 2: Convert to fraction form
    178,029/245,680.02 = 98,541/x
  3. Step 3: Cross multiply
    178,029x = 245,680.02 × 98,541
  4. Step 4: Simplify right side
    178,029x = 24,209,554,850.82
  5. Step 5: Solve for x
    x = 24,209,554,850.82/178,029
  6. Step 6: Final answer
    x = 135,986.58

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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.