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Finding the Fourth Proportional to 278,862.90, 384,829.00 and 151,538.50

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Solution

The fourth proportional to 278,862.90, 384,829.00 and 151,538.50 is: 209,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,862.90 : 384,829.00 = 151,538.50 : x
  2. Step 2: Convert to fraction form
    278,862.90/384,829.00 = 151,538.50/x
  3. Step 3: Cross multiply
    278,862.90x = 384,829.00 × 151,538.50
  4. Step 4: Simplify right side
    278,862.90x = 58,316,407,780.23
  5. Step 5: Solve for x
    x = 58,316,407,780.23/278,862.90
  6. Step 6: Final answer
    x = 209,122.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.