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Finding the Fourth Proportional to 115,774.63, 159,615.84 and 83,482.23

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Solution

The fourth proportional to 115,774.63, 159,615.84 and 83,482.23 is: 115,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,774.63 : 159,615.84 = 83,482.23 : x
  2. Step 2: Convert to fraction form
    115,774.63/159,615.84 = 83,482.23/x
  3. Step 3: Cross multiply
    115,774.63x = 159,615.84 × 83,482.23
  4. Step 4: Simplify right side
    115,774.63x = 13,325,086,266.52
  5. Step 5: Solve for x
    x = 13,325,086,266.52/115,774.63
  6. Step 6: Final answer
    x = 115,095.05

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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.