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Finding the Fourth Proportional to 153,010.84, 211,141.52 and 85,023.50

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Solution

The fourth proportional to 153,010.84, 211,141.52 and 85,023.50 is: 117,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010.84 : 211,141.52 = 85,023.50 : x
  2. Step 2: Convert to fraction form
    153,010.84/211,141.52 = 85,023.50/x
  3. Step 3: Cross multiply
    153,010.84x = 211,141.52 × 85,023.50
  4. Step 4: Simplify right side
    153,010.84x = 17,951,990,816.26
  5. Step 5: Solve for x
    x = 17,951,990,816.26/153,010.84
  6. Step 6: Final answer
    x = 117,324.96

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1.5x scale

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.