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Finding the Fourth Proportional to 130,196.60, 195,294.89 and 123,548.12

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Solution

The fourth proportional to 130,196.60, 195,294.89 and 123,548.12 is: 185,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,196.60 : 195,294.89 = 123,548.12 : x
  2. Step 2: Convert to fraction form
    130,196.60/195,294.89 = 123,548.12/x
  3. Step 3: Cross multiply
    130,196.60x = 195,294.89 × 123,548.12
  4. Step 4: Simplify right side
    130,196.60x = 24,128,315,837.50
  5. Step 5: Solve for x
    x = 24,128,315,837.50/130,196.60
  6. Step 6: Final answer
    x = 185,322.17

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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.