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Finding the Fourth Proportional to 114,000.80, 170,806.80 and 97,282.40

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Solution

The fourth proportional to 114,000.80, 170,806.80 and 97,282.40 is: 145,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.80 : 170,806.80 = 97,282.40 : x
  2. Step 2: Convert to fraction form
    114,000.80/170,806.80 = 97,282.40/x
  3. Step 3: Cross multiply
    114,000.80x = 170,806.80 × 97,282.40
  4. Step 4: Simplify right side
    114,000.80x = 16,616,495,440.32
  5. Step 5: Solve for x
    x = 16,616,495,440.32/114,000.80
  6. Step 6: Final answer
    x = 145,757.71

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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.