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Finding the Fourth Proportional to 102,645.80, 153,968.70 and 97,834.40

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Solution

The fourth proportional to 102,645.80, 153,968.70 and 97,834.40 is: 146,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.80 : 153,968.70 = 97,834.40 : x
  2. Step 2: Convert to fraction form
    102,645.80/153,968.70 = 97,834.40/x
  3. Step 3: Cross multiply
    102,645.80x = 153,968.70 × 97,834.40
  4. Step 4: Simplify right side
    102,645.80x = 15,063,435,383.28
  5. Step 5: Solve for x
    x = 15,063,435,383.28/102,645.80
  6. Step 6: Final answer
    x = 146,751.60

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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.