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Finding the Fourth Proportional to 193,886.40, 290,829.60 and 83,294.40

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Solution

The fourth proportional to 193,886.40, 290,829.60 and 83,294.40 is: 124,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,886.40 : 290,829.60 = 83,294.40 : x
  2. Step 2: Convert to fraction form
    193,886.40/290,829.60 = 83,294.40/x
  3. Step 3: Cross multiply
    193,886.40x = 290,829.60 × 83,294.40
  4. Step 4: Simplify right side
    193,886.40x = 24,224,477,034.24
  5. Step 5: Solve for x
    x = 24,224,477,034.24/193,886.40
  6. Step 6: Final answer
    x = 124,941.60

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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.