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Finding the Fourth Proportional to 116,003.80, 174,005.70 and 102,784.60

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Solution

The fourth proportional to 116,003.80, 174,005.70 and 102,784.60 is: 154,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,003.80 : 174,005.70 = 102,784.60 : x
  2. Step 2: Convert to fraction form
    116,003.80/174,005.70 = 102,784.60/x
  3. Step 3: Cross multiply
    116,003.80x = 174,005.70 × 102,784.60
  4. Step 4: Simplify right side
    116,003.80x = 17,885,106,272.22
  5. Step 5: Solve for x
    x = 17,885,106,272.22/116,003.80
  6. Step 6: Final answer
    x = 154,176.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.