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Finding the Fourth Proportional to 152,285.67, 210,249.84 and 97,862.19

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Solution

The fourth proportional to 152,285.67, 210,249.84 and 97,862.19 is: 135,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,285.67 : 210,249.84 = 97,862.19 : x
  2. Step 2: Convert to fraction form
    152,285.67/210,249.84 = 97,862.19/x
  3. Step 3: Cross multiply
    152,285.67x = 210,249.84 × 97,862.19
  4. Step 4: Simplify right side
    152,285.67x = 20,575,509,789.55
  5. Step 5: Solve for x
    x = 20,575,509,789.55/152,285.67
  6. Step 6: Final answer
    x = 135,111.27

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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.