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Finding the Fourth Proportional to 153,153.44, 211,333.32 and 85,153.34

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Solution

The fourth proportional to 153,153.44, 211,333.32 and 85,153.34 is: 117,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,153.44 : 211,333.32 = 85,153.34 : x
  2. Step 2: Convert to fraction form
    153,153.44/211,333.32 = 85,153.34/x
  3. Step 3: Cross multiply
    153,153.44x = 211,333.32 × 85,153.34
  4. Step 4: Simplify right side
    153,153.44x = 17,995,738,051.29
  5. Step 5: Solve for x
    x = 17,995,738,051.29/153,153.44
  6. Step 6: Final answer
    x = 117,501.36

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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.