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Finding the Fourth Proportional to 97,866.20, 137,197 and 97,866.20

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Solution

The fourth proportional to 97,866.20, 137,197 and 97,866.20 is: 137,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866.20 : 137,197 = 97,866.20 : x
  2. Step 2: Convert to fraction form
    97,866.20/137,197 = 97,866.20/x
  3. Step 3: Cross multiply
    97,866.20x = 137,197 × 97,866.20
  4. Step 4: Simplify right side
    97,866.20x = 13,426,949,041.40
  5. Step 5: Solve for x
    x = 13,426,949,041.40/97,866.20
  6. Step 6: Final answer
    x = 137,197

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.