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Finding the Fourth Proportional to 97,963.40, 137,459.80 and 97,963.40

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Solution

The fourth proportional to 97,963.40, 137,459.80 and 97,963.40 is: 137,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.40 : 137,459.80 = 97,963.40 : x
  2. Step 2: Convert to fraction form
    97,963.40/137,459.80 = 97,963.40/x
  3. Step 3: Cross multiply
    97,963.40x = 137,459.80 × 97,963.40
  4. Step 4: Simplify right side
    97,963.40x = 13,466,029,371.32
  5. Step 5: Solve for x
    x = 13,466,029,371.32/97,963.40
  6. Step 6: Final answer
    x = 137,459.80

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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.