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Finding the Fourth Proportional to 157,092.60, 235,638.90 and 157,092.60

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Solution

The fourth proportional to 157,092.60, 235,638.90 and 157,092.60 is: 235,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092.60 : 235,638.90 = 157,092.60 : x
  2. Step 2: Convert to fraction form
    157,092.60/235,638.90 = 157,092.60/x
  3. Step 3: Cross multiply
    157,092.60x = 235,638.90 × 157,092.60
  4. Step 4: Simplify right side
    157,092.60x = 37,017,127,462.14
  5. Step 5: Solve for x
    x = 37,017,127,462.14/157,092.60
  6. Step 6: Final answer
    x = 235,638.90

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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.