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Finding the Fourth Proportional to 105,266.90, 157,823.55 and 42,905.30

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Solution

The fourth proportional to 105,266.90, 157,823.55 and 42,905.30 is: 64,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.90 : 157,823.55 = 42,905.30 : x
  2. Step 2: Convert to fraction form
    105,266.90/157,823.55 = 42,905.30/x
  3. Step 3: Cross multiply
    105,266.90x = 157,823.55 × 42,905.30
  4. Step 4: Simplify right side
    105,266.90x = 6,771,466,759.82
  5. Step 5: Solve for x
    x = 6,771,466,759.82/105,266.90
  6. Step 6: Final answer
    x = 64,326.65

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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.