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Finding the Fourth Proportional to 194,564.84, 291,856.03 and 59,619.20

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Solution

The fourth proportional to 194,564.84, 291,856.03 and 59,619.20 is: 89,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,564.84 : 291,856.03 = 59,619.20 : x
  2. Step 2: Convert to fraction form
    194,564.84/291,856.03 = 59,619.20/x
  3. Step 3: Cross multiply
    194,564.84x = 291,856.03 × 59,619.20
  4. Step 4: Simplify right side
    194,564.84x = 17,400,221,415.45
  5. Step 5: Solve for x
    x = 17,400,221,415.45/194,564.84
  6. Step 6: Final answer
    x = 89,431.48

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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.