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Finding the Fourth Proportional to 202,913.60, 304,370.40 and 97,937.60

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Solution

The fourth proportional to 202,913.60, 304,370.40 and 97,937.60 is: 146,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,913.60 : 304,370.40 = 97,937.60 : x
  2. Step 2: Convert to fraction form
    202,913.60/304,370.40 = 97,937.60/x
  3. Step 3: Cross multiply
    202,913.60x = 304,370.40 × 97,937.60
  4. Step 4: Simplify right side
    202,913.60x = 29,809,306,487.04
  5. Step 5: Solve for x
    x = 29,809,306,487.04/202,913.60
  6. Step 6: Final answer
    x = 146,906.40

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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.