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Finding the Fourth Proportional to 178,447.76, 246,264.80 and 97,878.68

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Solution

The fourth proportional to 178,447.76, 246,264.80 and 97,878.68 is: 135,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.76 : 246,264.80 = 97,878.68 : x
  2. Step 2: Convert to fraction form
    178,447.76/246,264.80 = 97,878.68/x
  3. Step 3: Cross multiply
    178,447.76x = 246,264.80 × 97,878.68
  4. Step 4: Simplify right side
    178,447.76x = 24,104,073,554.46
  5. Step 5: Solve for x
    x = 24,104,073,554.46/178,447.76
  6. Step 6: Final answer
    x = 135,076.36

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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.