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Finding the Fourth Proportional to 102,354.10, 153,531.15 and 84,858.10

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Solution

The fourth proportional to 102,354.10, 153,531.15 and 84,858.10 is: 127,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.10 : 153,531.15 = 84,858.10 : x
  2. Step 2: Convert to fraction form
    102,354.10/153,531.15 = 84,858.10/x
  3. Step 3: Cross multiply
    102,354.10x = 153,531.15 × 84,858.10
  4. Step 4: Simplify right side
    102,354.10x = 13,028,361,679.82
  5. Step 5: Solve for x
    x = 13,028,361,679.82/102,354.10
  6. Step 6: Final answer
    x = 127,287.15

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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.