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Finding the Fourth Proportional to 174,084, 240,245.64 and 98,656.80

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Solution

The fourth proportional to 174,084, 240,245.64 and 98,656.80 is: 136,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,084 : 240,245.64 = 98,656.80 : x
  2. Step 2: Convert to fraction form
    174,084/240,245.64 = 98,656.80/x
  3. Step 3: Cross multiply
    174,084x = 240,245.64 × 98,656.80
  4. Step 4: Simplify right side
    174,084x = 23,701,866,056.35
  5. Step 5: Solve for x
    x = 23,701,866,056.35/174,084
  6. Step 6: Final answer
    x = 136,151.89

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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.