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Finding the Fourth Proportional to 178,428.32, 246,208.60 and 97,834.63

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Solution

The fourth proportional to 178,428.32, 246,208.60 and 97,834.63 is: 134,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,428.32 : 246,208.60 = 97,834.63 : x
  2. Step 2: Convert to fraction form
    178,428.32/246,208.60 = 97,834.63/x
  3. Step 3: Cross multiply
    178,428.32x = 246,208.60 × 97,834.63
  4. Step 4: Simplify right side
    178,428.32x = 24,087,726,794.64
  5. Step 5: Solve for x
    x = 24,087,726,794.64/178,428.32
  6. Step 6: Final answer
    x = 134,999.46

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1.5x scale

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.