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Finding the Fourth Proportional to 301,878.82, 452,899.90 and 102,199.23

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Solution

The fourth proportional to 301,878.82, 452,899.90 and 102,199.23 is: 153,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878.82 : 452,899.90 = 102,199.23 : x
  2. Step 2: Convert to fraction form
    301,878.82/452,899.90 = 102,199.23/x
  3. Step 3: Cross multiply
    301,878.82x = 452,899.90 × 102,199.23
  4. Step 4: Simplify right side
    301,878.82x = 46,286,021,047.08
  5. Step 5: Solve for x
    x = 46,286,021,047.08/301,878.82
  6. Step 6: Final answer
    x = 153,326.49

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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.