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Finding the Fourth Proportional to 471,055.16, 706,566.26 and 134,097.68

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Solution

The fourth proportional to 471,055.16, 706,566.26 and 134,097.68 is: 201,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,055.16 : 706,566.26 = 134,097.68 : x
  2. Step 2: Convert to fraction form
    471,055.16/706,566.26 = 134,097.68/x
  3. Step 3: Cross multiply
    471,055.16x = 706,566.26 × 134,097.68
  4. Step 4: Simplify right side
    471,055.16x = 94,748,898,333.94
  5. Step 5: Solve for x
    x = 94,748,898,333.94/471,055.16
  6. Step 6: Final answer
    x = 201,141.83

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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.