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Finding the Fourth Proportional to 137,492.61, 189,384.86 and 97,136.29

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Solution

The fourth proportional to 137,492.61, 189,384.86 and 97,136.29 is: 133,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,492.61 : 189,384.86 = 97,136.29 : x
  2. Step 2: Convert to fraction form
    137,492.61/189,384.86 = 97,136.29/x
  3. Step 3: Cross multiply
    137,492.61x = 189,384.86 × 97,136.29
  4. Step 4: Simplify right side
    137,492.61x = 18,396,143,162.14
  5. Step 5: Solve for x
    x = 18,396,143,162.14/137,492.61
  6. Step 6: Final answer
    x = 133,797.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.