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Finding the Fourth Proportional to 98,142.96, 147,214.08 and 24,270.96

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Solution

The fourth proportional to 98,142.96, 147,214.08 and 24,270.96 is: 36,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.96 : 147,214.08 = 24,270.96 : x
  2. Step 2: Convert to fraction form
    98,142.96/147,214.08 = 24,270.96/x
  3. Step 3: Cross multiply
    98,142.96x = 147,214.08 × 24,270.96
  4. Step 4: Simplify right side
    98,142.96x = 3,573,027,047.12
  5. Step 5: Solve for x
    x = 3,573,027,047.12/98,142.96
  6. Step 6: Final answer
    x = 36,406.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.