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Finding the Fourth Proportional to 201,909.51, 302,853.30 and 61,657.20

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Solution

The fourth proportional to 201,909.51, 302,853.30 and 61,657.20 is: 92,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.51 : 302,853.30 = 61,657.20 : x
  2. Step 2: Convert to fraction form
    201,909.51/302,853.30 = 61,657.20/x
  3. Step 3: Cross multiply
    201,909.51x = 302,853.30 × 61,657.20
  4. Step 4: Simplify right side
    201,909.51x = 18,673,086,488.76
  5. Step 5: Solve for x
    x = 18,673,086,488.76/201,909.51
  6. Step 6: Final answer
    x = 92,482.45

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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.