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Finding the Fourth Proportional to 99,826.22, 137,805.09 and 65,854.82

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Solution

The fourth proportional to 99,826.22, 137,805.09 and 65,854.82 is: 90,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,826.22 : 137,805.09 = 65,854.82 : x
  2. Step 2: Convert to fraction form
    99,826.22/137,805.09 = 65,854.82/x
  3. Step 3: Cross multiply
    99,826.22x = 137,805.09 × 65,854.82
  4. Step 4: Simplify right side
    99,826.22x = 9,075,129,397.03
  5. Step 5: Solve for x
    x = 9,075,129,397.03/99,826.22
  6. Step 6: Final answer
    x = 90,909.28

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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.