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Finding the Fourth Proportional to 471,087.64, 706,635.74 and 134,128.05

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Solution

The fourth proportional to 471,087.64, 706,635.74 and 134,128.05 is: 201,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,087.64 : 706,635.74 = 134,128.05 : x
  2. Step 2: Convert to fraction form
    471,087.64/706,635.74 = 134,128.05/x
  3. Step 3: Cross multiply
    471,087.64x = 706,635.74 × 134,128.05
  4. Step 4: Simplify right side
    471,087.64x = 94,779,673,866.51
  5. Step 5: Solve for x
    x = 94,779,673,866.51/471,087.64
  6. Step 6: Final answer
    x = 201,193.29

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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.