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Finding the Fourth Proportional to 201,870.10, 302,805.15 and 190,983.70

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Solution

The fourth proportional to 201,870.10, 302,805.15 and 190,983.70 is: 286,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.10 : 302,805.15 = 190,983.70 : x
  2. Step 2: Convert to fraction form
    201,870.10/302,805.15 = 190,983.70/x
  3. Step 3: Cross multiply
    201,870.10x = 302,805.15 × 190,983.70
  4. Step 4: Simplify right side
    201,870.10x = 57,830,847,926.06
  5. Step 5: Solve for x
    x = 57,830,847,926.06/201,870.10
  6. Step 6: Final answer
    x = 286,475.55

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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.