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Finding the Fourth Proportional to 124,292.90, 186,466.36 and 45,407

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Solution

The fourth proportional to 124,292.90, 186,466.36 and 45,407 is: 68,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,292.90 : 186,466.36 = 45,407 : x
  2. Step 2: Convert to fraction form
    124,292.90/186,466.36 = 45,407/x
  3. Step 3: Cross multiply
    124,292.90x = 186,466.36 × 45,407
  4. Step 4: Simplify right side
    124,292.90x = 8,466,878,008.52
  5. Step 5: Solve for x
    x = 8,466,878,008.52/124,292.90
  6. Step 6: Final answer
    x = 68,120.37

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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.