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Finding the Fourth Proportional to 153,195.40, 211,406.59 and 85,210.93

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Solution

The fourth proportional to 153,195.40, 211,406.59 and 85,210.93 is: 117,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195.40 : 211,406.59 = 85,210.93 : x
  2. Step 2: Convert to fraction form
    153,195.40/211,406.59 = 85,210.93/x
  3. Step 3: Cross multiply
    153,195.40x = 211,406.59 × 85,210.93
  4. Step 4: Simplify right side
    153,195.40x = 18,014,152,142.03
  5. Step 5: Solve for x
    x = 18,014,152,142.03/153,195.40
  6. Step 6: Final answer
    x = 117,589.38

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Why These Related Problems?

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