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Finding the Fourth Proportional to 174,082, 240,242.88 and 98,654.80

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Solution

The fourth proportional to 174,082, 240,242.88 and 98,654.80 is: 136,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,082 : 240,242.88 = 98,654.80 : x
  2. Step 2: Convert to fraction form
    174,082/240,242.88 = 98,654.80/x
  3. Step 3: Cross multiply
    174,082x = 240,242.88 × 98,654.80
  4. Step 4: Simplify right side
    174,082x = 23,701,113,277.82
  5. Step 5: Solve for x
    x = 23,701,113,277.82/174,082
  6. Step 6: Final answer
    x = 136,149.13

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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.