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Finding the Fourth Proportional to 153,456.42, 211,775.61 and 84,548.72

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Solution

The fourth proportional to 153,456.42, 211,775.61 and 84,548.72 is: 116,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,456.42 : 211,775.61 = 84,548.72 : x
  2. Step 2: Convert to fraction form
    153,456.42/211,775.61 = 84,548.72/x
  3. Step 3: Cross multiply
    153,456.42x = 211,775.61 × 84,548.72
  4. Step 4: Simplify right side
    153,456.42x = 17,905,355,693.84
  5. Step 5: Solve for x
    x = 17,905,355,693.84/153,456.42
  6. Step 6: Final answer
    x = 116,680.39

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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.