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Finding the Fourth Proportional to 153,005, 211,166.70 and 85,937

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Solution

The fourth proportional to 153,005, 211,166.70 and 85,937 is: 118,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,005 : 211,166.70 = 85,937 : x
  2. Step 2: Convert to fraction form
    153,005/211,166.70 = 85,937/x
  3. Step 3: Cross multiply
    153,005x = 211,166.70 × 85,937
  4. Step 4: Simplify right side
    153,005x = 18,147,032,697.90
  5. Step 5: Solve for x
    x = 18,147,032,697.90/153,005
  6. Step 6: Final answer
    x = 118,604.18

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