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Finding the Fourth Proportional to 201,886.90, 302,830.35 and 138,901.30

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Solution

The fourth proportional to 201,886.90, 302,830.35 and 138,901.30 is: 208,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.90 : 302,830.35 = 138,901.30 : x
  2. Step 2: Convert to fraction form
    201,886.90/302,830.35 = 138,901.30/x
  3. Step 3: Cross multiply
    201,886.90x = 302,830.35 × 138,901.30
  4. Step 4: Simplify right side
    201,886.90x = 42,063,529,294.46
  5. Step 5: Solve for x
    x = 42,063,529,294.46/201,886.90
  6. Step 6: Final answer
    x = 208,351.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.